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by Peter Fleischmann
Finite Fields Appl
http://www.exp-math.uni-essen.de/~peter/pap/ff_comb.ps
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Abstract:
We describe combinatorial techniques to determine the numbers of semisimple conjugacy classes and adjoint orbits with fixed class of centralizers for simply connected finite groups of Lie type. 1
Citations
|
155
|
Reflection Groups and Coxeter Groups
– Humphreys
- 1990
|
|
65
|
Combinatorics and topology of complements of hyperplanes
– Orlik, Solomon
- 1980
|
|
49
|
Representations of reductive groups over finite fields
– Deligne, Lusztig
- 1976
|
|
16
|
On the action of the symmetric group on the cohomology of the complement of its reflecting hyperplanes
– Lehrer, Solomon
- 1986
|
|
8
|
The number of regular semisimple elements for Chevalley groups of classical type
– Fleischmann, Janiszczak
- 1993
|
|
8
|
The fixed point partition lattices
– HANLON
- 1981
|
|
7
|
The conjugacy classes of Chevalley Groups of type F 4 over finite fields of characteristic 2
– Shinoda
- 1974
|
|
7
|
The conjugacy classes of Chevalley Groups of type F 4 over finite fields of characteristic p 6= 2
– Shoji
- 1974
|
|
6
|
Torsion in reductive groups
– Steinberg
- 1975
|
|
4
|
The semisimple conjugacy classes and the generic class numbers of Chevalley groups of type E8
– Fleischmann, Janiszczak
- 1994
|
|
4
|
The number of regular semisimple classes of special linear and unitary groups. Linear Algebra Appl
– Fleischmann, Janiszczak, et al.
- 1998
|
|
3
|
The semisimple conjugacy classes of finite groups of Lie type
– Fleischmann, Janiszczak
- 1993
|
|
3
|
On the computation of conjugacy classes of Chevalley groups
– Fleischmann, Janiszczak
- 1996
|
|
3
|
semisimple orbits and the topology of hyperplane complements
– Lehrer
- 1992
|
|
2
|
On the number of conjugacy classes in finite groups of Lie type
– Deriziotis
- 1985
|
|
2
|
Polynomial identities for orbit numbers of general linear and unitary groups over finite
– Fleischmann
- 1997
|
|
2
|
On the foundations of combinatorial theory I. Mobius functions Z.f. Wahrscheinlichkeitstheorie 2
– Rota
- 1964
|
|
1
|
The Mobius function of the lattice of closed subsystems of a root system
– Deriziotis, Holt
- 1993
|
|
1
|
The lattices and Mobius functions of stable subrootsystems and hyperplane complements for classical Weyl groups Manuscripta Math. 72
– Fleischmann, Janiszczak
- 1991
|
|
1
|
On hyperoctahedral hyperplane complements
– Lehrer
- 1987
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