On the number of homomorphisms from a finite group to a general linear group

DOI10.1006/JABR.1999.8398zbMath0984.20012OpenAlexW2088268794MaRDI QIDQ1588401

Tomoyuki Yoshida, Naoki Chigira, Yugen Takegahara

Publication date: 28 April 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8398

zbMATH Keywords

generating functionsfinite groupsfinite general linear groupsnumbers of homomorphismsRogers-Ramanujan identity

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Linear algebraic groups over finite fields (20G40) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of infinite groups (20E36)

Related Items (5)

The Number of Homomorphisms from a Finite Group to a General Linear Group ⋮ ASYMPTOTIC BOUNDS FOR THE SIZE OF Hom(A, GL_n(q)) ⋮ On zeta functions of modular representations of a discrete group. ⋮ Random matrix theory over finite fields ⋮ \(p\)-divisibility of the number of linear representations of an abelian \(p\)-group

Cites Work

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• \(|\Hom(A,G)|\). II.
• \(|\Hom(A,G)|\).
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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