scholarly journals Descents of unipotent cuspidal representations of finite classical groups

2020 ◽  
Author(s):  
Dongwen Liu ◽  
Zhicheng Wang
Keyword(s):  
Classical Groups ◽  
Finite Classical Groups ◽  
Cuspidal Representations

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

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| → ∞.

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.

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