Imperfect groups

DOI10.1016/0022-4049(93)90008-HzbMath0785.20020OpenAlexW4210683096WikidataQ30048369 ScholiaQ30048369MaRDI QIDQ686013

Derek J. S. Robinson, A. J. Berrick

Publication date: 1 November 1993

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(93)90008-h

zbMATH Keywords

locally finite groupsubnormal subgroupchain of imperfect normal subgroupscommutative semilocal ringimperfect groupimperfect radicalminimal condition on subnormal subgroupsperfect quotient groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) General structure theorems for groups (20E34) Chains and lattices of subgroups, subnormal subgroups (20E15) Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25) Residual properties and generalizations; residually finite groups (20E26)

Related Items

Linear groups rich in finite quotients ⋮ Groups with no nontrivial linear representations ⋮ A class of groups rich in finite quotients

Cites Work

• Homology of the infinite symmetric group
• On the principal indecomposables of a modular group algebra
• On the theory of subnormal subgroups
• Finite factor groups of the unimodular group
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• On certain subnormal coalition classes
• Complete Groups with Nonabelian Composition Factors
• Endliche Gruppen I
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
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