The Number of Homomorphisms from a Finite Group to a General Linear Group

DOI10.1081/AGB-120027921zbMath1074.20016OpenAlexW1976872166MaRDI QIDQ3154482

Martin W. Liebeck, Aner Shalev

Publication date: 14 January 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120027921

zbMATH Keywords

estimatesnumbers of homomorphismsabsolute constants

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of infinite groups (20E36) Asymptotic enumeration (05A16)

Related Items (2)

The number of homomorphisms from finite groups to classical groups. ⋮ ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(A, GL_n(q))

Cites Work

• Finite group actions and asymptotic expansion of \(e^{P(z)}\)
• On the number of homomorphisms from a finite group to a general linear group
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• Classical groups, probabilistic methods, and the \((2,3)\)-generation problem
• RANDOM (r, s)-GENERATION OF FINITE CLASSICAL GROUPS

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