scholarly journals Invariants of maximal tori and unipotent constituents of some quasi-projective characters for finite classical groups

2018 ◽  
Vol 500 ◽  
pp. 517-541 ◽  
Author(s):  
A.E. Zalesski
Keyword(s):  
Classical Groups ◽  
Maximal Tori ◽  
Finite Classical Groups

The cyclic structure of maximal tori of the finite classical groups

2007 ◽  
Vol 46 (2) ◽  
pp. 73-89 ◽  
Author(s):  
A. A. Buturlakin ◽  
M. A. Grechkoseeva
Keyword(s):  
Classical Groups ◽  
Cyclic Structure ◽  
Maximal Tori ◽  
Finite Classical Groups

The Maximal Subgroups of the Low-Dimensional Finite Classical Groups

2009 ◽  
Author(s):  
John N. Bray ◽  
Derek F. Holt ◽  
Colva M. Roney-Dougal
Keyword(s):  
Maximal Subgroups ◽  
Classical Groups ◽  
Finite Classical Groups ◽  
Low Dimensional

scholarly journals Power series coefficients for probabilities in finite classical groups

2006 ◽  
Vol 305 (2) ◽  
pp. 1212-1237
Author(s):  
John R. Britnell ◽  
Jason Fulman
Keyword(s):  
Power Series ◽  
Classical Groups ◽  
Finite Classical Groups

scholarly journals The sylow 2-subgroups of the finite classical groups

1964 ◽  
Vol 1 (2) ◽  
pp. 139-151 ◽  
Author(s):  
Roger Carter ◽  
Paul Fong
Keyword(s):  
Classical Groups ◽  
Finite Classical Groups

Embeddings of maximal tori in classical groups over local and global fields

2016 ◽  
Vol 80 (4) ◽  
pp. 17-34 ◽  
Author(s):  
Eva Bayer-Fluckiger ◽  
Eva Bayer-Fluckiger ◽  
Ting-Yu Lee ◽  
Ting-Yu Lee ◽  
Raman Parimala ◽  
...  
Keyword(s):  
Classical Groups ◽  
Global Fields ◽  
Maximal Tori

RANDOM (r, s)-GENERATION OF FINITE CLASSICAL GROUPS

2002 ◽  
Vol 34 (2) ◽  
pp. 185-188 ◽  
Author(s):  
MARTIN W. LIEBECK ◽  
ANER SHALEV
Keyword(s):  
Classical Groups ◽  
Large Rank ◽  
Finite Classical Groups

A proof is given that for primes r, s, not both 2, and for finite simple classical groups G of sufficiently large rank, the probability that two randomly chosen elements in G of orders r and s generate G tends to 1 as |G| → ∞.

Finite Classical Groups

2015 ◽  
pp. 277-295
Author(s):  
Stephen Bruce Sontz
Keyword(s):  
Classical Groups ◽  
Finite Classical Groups

scholarly journals A geometric approach to Quillen’s conjecture

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Antonio Díaz Ramos ◽  
Nadia Mazza
Keyword(s):  
Finite Group ◽  
Prime Divisor ◽  
Geometric Approach ◽  
Classical Groups ◽  
Strong Version ◽  
Finite Classical Groups ◽  
A Finite Group

Abstract We introduce admissible collections for a finite group 𝐺 and use them to prove that most of the finite classical groups in non-defining characteristic satisfy the Quillen dimension at 𝑝 property, a strong version of Quillen’s conjecture, at a given odd prime divisor 𝑝 of | G | \lvert G\rvert . Compared to the methods in [M. Aschbacher and S. D. Smith, On Quillen’s conjecture for the 𝑝-groups complex, Ann. of Math. (2) 137 (1993), 3, 473–529], our techniques are simpler.

Character and Fixed Point Ratios in Finite Classical Groups

1995 ◽  
Vol s3-71 (3) ◽  
pp. 547-584 ◽  
Author(s):  
David Gluck ◽  
Kay Magaard
Keyword(s):  
Fixed Point ◽  
Classical Groups ◽  
Finite Classical Groups
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