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University Life
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About University of Galway
About University of Galway
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Accessibility & LanguageAcademic Staff
Professor Gotz Pfeiffer
Contact Details
Personal Professor
Dept. of Mathematics
Room C208 ¿ras de Br¿n
University of Galway
T: Ext. 3591
E: goetz.pfeiffer@universityofgalway.ie
Dept. of Mathematics
Room C208 ¿ras de Br¿n
University of Galway
T: Ext. 3591
E: goetz.pfeiffer@universityofgalway.ie
Biography
Research Interests
Peer Reviewed Journals
| Year | Publication | |
|---|---|---|
| (2023) | 'On the left connected subalgebra of the descent algebra of a Coxeter group of classical type'
Hellebrandt, Linus and Pfeiffer, G\"otz (2023) 'On the left connected subalgebra of the descent algebra of a Coxeter group of classical type'. Ann. Comb, 27 (3):693-706 [DOI] [Details] |
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| (2023) | 'Maximal order Abelian subgroups of Coxeter groups'
Burns, John M. and Pfeiffer, Goetz (2023) 'Maximal order Abelian subgroups of Coxeter groups'. Glasg. Math. J, 65 (1):114-120 [DOI] [Details] |
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| (2020) | 'On the invariants of the cohomology of complements of Coxeter arrangements'
Douglass, JM;Pfeiffer, G;Rohrle, G (2020) 'On the invariants of the cohomology of complements of Coxeter arrangements'. Journal Of Algebra, 558 :336-349 [DOI] [ARAN Link] [Details] |
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| (2018) | 'On the table of marks of a direct product of finite groups'
Masterson, B,Pfeiffer, G (2018) 'On the table of marks of a direct product of finite groups'. Journal Of Algebra, 499 :610-644 [DOI] [ARAN Link] [Details] |
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| (2018) | 'The Varchenko determinant of a Coxeter arrangement'
Pfeiffer, G,Randriamaro, H (2018) 'The Varchenko determinant of a Coxeter arrangement'. Journal Of Group Theory, 21 :651-665 [DOI] [ARAN Link] [Details] |
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| (2017) | 'THE BMR FREENESS CONJECTURE FOR THE 2-REFLECTION GROUPS'
Marin, I,Pfeiffer, G (2017) 'THE BMR FREENESS CONJECTURE FOR THE 2-REFLECTION GROUPS'. Mathematics Of Computation, 86 :2005-2023 [DOI] [ARAN Link] [Details] |
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| (2017) | 'On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group'
Niemeyer, AC,Pfeiffer, G,Praeger, CE (2017) 'On the complexity of multiplication in the Iwahori-Hecke algebra of the symmetric group'. Journal Of Symbolic Computation, 80 :817-832 [DOI] [ARAN Link] [Details] |
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| (2015) | 'Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2015) 'Computations for Coxeter arrangements and Solomon's descent algebra III: Groups of rank seven and eight'. Journal Of Algebra, 423 :1213-1232 [DOI] [ARAN Link] [Details] |
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| (2014) | 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'
Douglass, JM;Pfeiffer, G;Rohrle, G (2014) 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'. Transactions Of The American Mathematical Society, 366 :5379-5407 [Details] |
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| (2014) | 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'
Douglass, JM,Pfeiffer, G,Rohrle, G (2014) 'COHOMOLOGY OF COXETER ARRANGEMENTS AND SOLOMON'S DESCENT ALGEBRA'. Transactions Of The American Mathematical Society, 366 :5379-5407 [ARAN Link] [Details] |
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| (2013) | 'ON REFLECTION SUBGROUPS OF FINITE COXETER GROUPS'
Douglass, JM,Pfeiffer, G,Rohrle, G (2013) 'ON REFLECTION SUBGROUPS OF FINITE COXETER GROUPS'. Communications In Algebra, 41 :2574-2592 [DOI] [ARAN Link] [Details] |
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| (2013) | 'Integer sequences realized by the subgroup pattern of the symmetric group'
Naughton, L. and Pfeiffer, G. (2013) 'Integer sequences realized by the subgroup pattern of the symmetric group'. J. Integer Seq, 16 (5) [Details] |
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| (2013) | 'Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2013) 'Computations for Coxeter arrangements and Solomon's descent algebra II: Groups of rank five and six'. Journal Of Algebra, 377 :320-332 [DOI] [ARAN Link] [Details] |
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| (2013) | 'On the quiver presentation of the descent algebra of the symmetric group'
Bishop, M,Pfeiffer, G (2013) 'On the quiver presentation of the descent algebra of the symmetric group'. Journal Of Algebra, 383 :212-231 [DOI] [ARAN Link] [Details] |
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| (2013) | 'Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four'
Bishop, M,Douglass, JM,Pfeiffer, G,Rohrle, G (2013) 'Computations for Coxeter arrangements and Solomon's descent algebra: Groups of rank three and four'. Journal Of Symbolic Computation, 50 :139-158 [DOI] [ARAN Link] [Details] |
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| (2012) | 'An inductive approach to Coxeter arrangements and Solomon's descent algebra'
Douglass, JM,Pfeiffer, G,Rohrle, G (2012) 'An inductive approach to Coxeter arrangements and Solomon's descent algebra'. Journal Of Algebraic Combinatorics, 35 :215-235 [DOI] [ARAN Link] [Details] |
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| (2012) | 'COMPUTING THE TABLE OF MARKS OF A CYCLIC EXTENSION'
Naughton, L;Pfeiffer, G (2012) 'COMPUTING THE TABLE OF MARKS OF A CYCLIC EXTENSION'. Mathematics Of Computation, 81 :2419-2438 [Details] |
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| (2012) | 'COMPUTING THE TABLE OF MARKS OF A CYCLIC EXTENSION'
Naughton, L,Pfeiffer, G (2012) 'COMPUTING THE TABLE OF MARKS OF A CYCLIC EXTENSION'. Mathematics Of Computation, 81 :2419-2438 [ARAN Link] [Details] |
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| (2011) | 'A note on element centralizers in finite Coxeter groups'
Konvalinka, M,Pfeiffer, G,Rover, CE (2011) 'A note on element centralizers in finite Coxeter groups'. Journal Of Group Theory, 14 :727-745 [DOI] [ARAN Link] [Details] |
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| (2009) | 'A quiver presentation for Solomon's descent algebra'
Pfeiffer, G (2009) 'A quiver presentation for Solomon's descent algebra'. Advances In Mathematics, 220 :1428-1465 [DOI] [Details] |
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| (2008) | 'Around Solomon's Descent Algebras'
Bonnafe, C,Pfeiffer, G (2008) 'Around Solomon's Descent Algebras'. Algebras And Representation Theory, 11 :577-602 [DOI] [Details] |
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| (2005) | 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'
Pfeiffer, G,Rohrle, G (2005) 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'. Journal Of The Australian Mathematical Society, 79 :141-147 [Details] |
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| (2005) | 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'
Pfeiffer, G;Rohrle, G (2005) 'Special involutions and bulky parabolic subgroups in finite Coxeter groups'. Journal Of The Australian Mathematical Society, 79 :141-147 [Details] |
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| (2004) | 'Counting transitive relations'
Pfeiffer, G\"otz (2004) 'Counting transitive relations'. Journal Of Integer Sequences, 7 (3) [Details] |
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| (2003) | 'Distributive coset graphs of finite Coxeter groups'
Pfeiffer, G;Rohrle, G (2003) 'Distributive coset graphs of finite Coxeter groups'. Journal Of Group Theory, 6 :311-320 [Details] |
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| (2003) | 'Distributive coset graphs of finite Coxeter groups'
Pfeiffer, G,Rohrle, G (2003) 'Distributive coset graphs of finite Coxeter groups'. Journal Of Group Theory, 6 :311-320 [Details] |
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| (2002) | 'The p-modular descent algebras'
Atkinson, MD,Pfeiffer, G,Van Willigenburg, SJ (2002) 'The p-modular descent algebras'. Algebras And Representation Theory, 5 :101-113 [Details] |
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| (2002) | 'The p-modular descent algebras'
Atkinson, MD;Pfeiffer, G;Van Willigenburg, SJ (2002) 'The p-modular descent algebras'. Algebras And Representation Theory, 5 :101-113 [Details] |
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| (2002) | 'Computing transformation semigroups'
Linton, SA,Pfeiffer, G,Robertson, EF,Ruskuc, N (2002) 'Computing transformation semigroups'. Journal Of Symbolic Computation, 33 :145-162 [DOI] [Details] |
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| (2000) | 'Minimal length elements in twisted conjugacy classes of finite Coxeter groups'
Geck, M., Kim, S., Pfeiffer, G. (2000) 'Minimal length elements in twisted conjugacy classes of finite Coxeter groups'. Journal Of Algebra, 229 :570-600 [DOI] [Details] |
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| (1998) | 'Finding possible permutation characters'
Breuer, T;Pfeiffer, G (1998) 'Finding possible permutation characters'. Journal Of Symbolic Computation, 26 :343-354 [Details] |
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| (1998) | 'Finding possible permutation characters'
Breuer, T,Pfeiffer, G (1998) 'Finding possible permutation characters'. Journal Of Symbolic Computation, 26 :343-354 [Details] |
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| (1998) | 'Groups and Actions in Transformation Semigroups'
Linton, S.A., Pfeiffer, G., Robertson, E., Ruskuc, N. (1998) 'Groups and Actions in Transformation Semigroups'. Mathematische Zeitschrift, 228 :435-450 [DOI] [Details] |
|
| (1997) | 'The subgroups of M24, or How to compute the table of marks of a finite group'
Pfeiffer, G. (1997) 'The subgroups of M24, or How to compute the table of marks of a finite group'. Experimental Mathematics, 6 :247-270 [Details] |
|
| (1996) | 'CHEVIE - A system for computing and processing generic character tables'
Geck, M., Hiss, G., Lübeck, F., Malle, G., Pfeiffer, G. (1996) 'CHEVIE - A system for computing and processing generic character tables'. Applicable Algebra In Engineering, Communication And Co, 7 :175-210 [DOI] [Details] |
|
| (1994) | 'Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula'
Pfeiffer, G. (1994) 'Young characters on Coxeter basis elements of Iwahori-Hecke algebras and a Murnaghan-Nakayama formula'. Journal Of Algebra, 168 :525-535 [DOI] [Details] |
|
| (1994) | 'Character tables of Weyl groups in GAP'
Pfeiffer, G\"otz (1994) 'Character tables of Weyl groups in GAP'. Bayreuther Mathematische Schriften, (47):165-222 [Details] |
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| (1993) | 'On the irreducible characters of Hecke algebras'
Geck, M., Pfeiffer, G. (1993) 'On the irreducible characters of Hecke algebras'. Advances In Mathematics, 102 :79-94 [DOI] [Details] |
|
| (1992) | 'Unipotent characters of the Chevalley groups D4(q), q odd'
Geck, M., Pfeiffer, G. (1992) 'Unipotent characters of the Chevalley groups D4(q), q odd'. Manuscripta Mathematica, 76 :281-304 [DOI] [Details] |
Books
| Year | Publication | |
|---|---|---|
| (2000) | Characters of finite Coxeter groups and Iwahori-Hecke algebras.
Geck, Meinolf and Pfeiffer, G\"otz (2000) Characters of finite Coxeter groups and Iwahori-Hecke algebras. : The Clarendon Press Oxford University Press. [Details] |
Book Chapters
| Year | Publication | |
|---|---|---|
| (2007) | 'An algorithm for the unit group of the Burnside ring of a finite group'
Boltje, Robert and Pfeiffer, G\"otz (2007) 'An algorithm for the unit group of the Burnside ring of a finite group' In: Groups St. Andrews 2005. Vol. 1. :230-236 Cambridge: Cambridge Univ. Press. [ARAN Link] [Details] |
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| (1997) | 'Character values of Iwahori-Hecke algebras of type $B$'
Pfeiffer, G\"otz (1997) 'Character values of Iwahori-Hecke algebras of type $B$' In: Finite Reductive Groups, Related Structures and Representations. :333-360 Boston: Birkh\auser Boston. [Details] |
Thesis
| Year | Publication | |
|---|---|---|
| (1995) | Charakterwerte von Iwahori-Hecke-Algebren von klassischem Typ. Aachener Beitrage zur Mathematik.
Pfeiffer, G. (1995) Charakterwerte von Iwahori-Hecke-Algebren von klassischem Typ. Aachener Beitrage zur Mathematik. Verlag der Augustinus Buchhandlung, Aachen Thesis [Details] |
