On the Existence of $f$-local Subgroups in a Group with Finite Involution

On the Existence of $f$-local Subgroups in a Group with Finite Involution

An $f$-local subgroup of an infinite group is each its infinite subgroup with a nontrivial locally finite radical. An involution is said to be finite in a group if it generates a finite subgroup with each conjugate involution. An involution is called isolated if it does not commute with any conjugat...

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Bibliographic Details
Main Authors: A.I. Sozutov, M. V. Yanchenko
Format: Article
Language:English
Published: Irkutsk State University 2022-06-01
Series:Известия Иркутского государственного университета: Серия "Математика"
Subjects:
group
$f$-local subgroup
finite involution
commuting graph
Online Access:https://mathizv.isu.ru/en/article/file?id=1415

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