COMMUNICATIONS IN ALGEBRA, vol.48, no.3, pp.1356-1370, 2020 (Journal Indexed in SCI)
Article / Article
Title of Journal :
COMMUNICATIONS IN ALGEBRA
Finitary series, finitary permutation, cofinitary permutation, linear groups, minimal non-soluble groups, minimal non-hypercentral groups, barely transitive groups
We mainly introduce finitary series of groups which can be represented as permutation or linear groups. Also we define (finitary permutation)-hypercentral (nilpotent) and (finitary linear)-hypercentral (nilpotent) groups. We give certain applications of the introduced concepts to perfect locally finite barely transitive p-groups.