A group theoretical characterization of simple, locally finite, finitary linear groups

DOI10.1007/BF01199095zbMath0791.20039OpenAlexW2060575446MaRDI QIDQ1325104

Jonathan I. Hall, Brian Hartley

Publication date: 13 July 1994

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199095

zbMATH Keywords

involutionfinitary linear groupsderived lengthclassification of finite simple groupsnormal closuresimple locally finite groups2- subgroup

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Extensions, wreath products, and other compositions of groups (20E22) Local properties of groups (20E25)

Related Items

On classification of inductive limits of direct products of alternating groups ⋮ Groups with no nontrivial linear representations ⋮ Locally finite simple groups whose non-Abelian subgroups are pronormal

Cites Work

• The classification of the simple periodic linear groups
• Infinite alternating groups as finitary linear transformation groups
• The structure of groups of finitary transformations
• Über einfache, lokal endliche Gruppen
• MONOMORPHISMS AND DIRECT LIMITS OF FINITE GROUPS OF LIE TYPE
• Sylow p-Subgroups of the Classical Groups Over Finite Fields with Characteristic Prime to p
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