Groups with no nontrivial linear representations

DOI10.1017/S0004972700009503zbMath0815.20026MaRDI QIDQ4312385

A. J. Berrick

Publication date: 30 June 1995

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

locally soluble groupsacyclic groupsbinate groupscounter-linear groupshomomorphisms of \(G\) into \(\text{GL}(n,k)\)perfect group with no non-cyclic free subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) General structure theorems for groups (20E34) Automorphisms of infinite groups (20E36) Other groups related to topology or analysis (20F38) Representations of groups as automorphism groups of algebraic systems (20F29) Representations of infinite symmetric groups (20C32)

Related Items (4)

Linear representations of binate groups ⋮ Tsirelson’s problem and an embedding theorem for groups arising from non-local games ⋮ \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups ⋮ Twisted conjugacy and commensurability invariance

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• Über einfache, lokal endliche Gruppen
• On the Representations of Skew Linear Groups
• Strongly torsion generated groups
• Remarks on the Structure of Acyclic Groups
• Representations of locally finite groups
• A Finitely Generated Infinite Simple Group

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