A local approach to a class of locally finite groups

DOI10.1017/S0004972700037400zbMath1055.20026OpenAlexW2141317423MaRDI QIDQ4470023

Tatiana Pedraza, Adolfo Ballester-Bolinches

Publication date: 22 June 2004

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

Full work available at URL: https://doi.org/10.1017/s0004972700037400

zbMATH Keywords

Sylow subgroupsFitting classesformationsinjectorsascendant subgroupsmin-\(p\)radical locally finite groupsdescendant subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Local properties of groups (20E25) Formations of groups, Fitting classes (20F17)

Cites Work

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• Certain Fitting classes of groups with min-p for all p
• On finite soluble groups which behave like nilpotent groups with respect to the Frattini group
• On a class of generalized nilpotent groups
• Chief factors of finite groups with order a multiple of_p
• A Frattini-like subgroup
• The Fitting Subgroup and Some Injectors of Radical Locally Finite Groups with min-pfor Allp
• Schunck classes and projectors in a class of locally finite groups

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