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A. Ballester-Bolinches, E. Cosme-Llópez, R. Esteban-Romero
Algorithms for permutability in finite groups
Cent. Eur. J. Math., 11 (11), 1914-1922 (2013).
Abstract: In this paper we describe some algorithms to identify permutable and Sylow-permutable subgroups of finite groups, Dedekind and Iwasawa finite groups, and finite T-groups (groups in which normality is transitive), PT-groups (groups in which permutability is transitive), and PST-groups (groups in which Sylow permutability is transitive). These algorithms have been implemented in a package for the computer algebra system GAP.
Keywords: Finite group • Permutable subgroup • S-permutable subgroup • Dedekind group • Iwasawa group • T-group • PT-group • PST-group • Algorithm
Mathematics Subject Classification (2010): 20D10, 20D20, 20-04