Local characterizations of periodic simple groups of finitary transformations

DOI10.1007/BF02261690zbMath0840.20023MaRDI QIDQ1346893

V. V. Belyaev

Publication date: 20 April 1995

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/187646

zbMATH Keywords

finite subgroupslocally nilpotent radicalinert subgroupsgroup of finitary transformationslocally solvable radicalcountable locally finite simple groupsgroups of Lie-type

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Simple groups (20E32) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Cites Work

• Unnamed Item
• Infinite alternating groups as finitary linear transformation groups
• Local characterizations of infinite alternating and Lie type groups
• Locally solvable periodic groups of finitary transformations
• A question of L. A. Shemetkov
• Semisimple periodic groups of finitary transformations
• Inert subgroups in infinite simple groups
• Locally finite groups containing a finite inseparable subgroup

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