The aim is to investigate the behaviour of (homomorphic images of) periodic linear groups which are factorized by mutually permutable subgroups. Mutually permutable subgroups have been extensively investigated in the finite case by several authors, among which, for our purposes, we only cite J. C. Beidleman and H. Heineken (2005). In a previous paper of ours (see M. Ferrara, M. Trombetti (2022)) we have been able to generalize the first main result of J. C. Beidleman, H. Heineken (2005) to periodic linear groups (showing that the commutator subgroups and the intersection of mutually permutable subgroups are subnormal subgroups of the whole group), and, in this paper, we completely generalize all other main results of J. C. Beidleman, H. Heineken (2005) to (homomorphic images of) periodic linear groups.

Periodic linear groups factorized by mutually permutable subgroups / Ferrara, M.; Trombetti, M.. - In: CZECHOSLOVAK MATHEMATICAL JOURNAL. - ISSN 0011-4642. - 73:4(2023), pp. 1229-1254. [10.21136/CMJ.2023.0485-22]

Periodic linear groups factorized by mutually permutable subgroups

Trombetti M.
2023

Abstract

The aim is to investigate the behaviour of (homomorphic images of) periodic linear groups which are factorized by mutually permutable subgroups. Mutually permutable subgroups have been extensively investigated in the finite case by several authors, among which, for our purposes, we only cite J. C. Beidleman and H. Heineken (2005). In a previous paper of ours (see M. Ferrara, M. Trombetti (2022)) we have been able to generalize the first main result of J. C. Beidleman, H. Heineken (2005) to periodic linear groups (showing that the commutator subgroups and the intersection of mutually permutable subgroups are subnormal subgroups of the whole group), and, in this paper, we completely generalize all other main results of J. C. Beidleman, H. Heineken (2005) to (homomorphic images of) periodic linear groups.
2023
Periodic linear groups factorized by mutually permutable subgroups / Ferrara, M.; Trombetti, M.. - In: CZECHOSLOVAK MATHEMATICAL JOURNAL. - ISSN 0011-4642. - 73:4(2023), pp. 1229-1254. [10.21136/CMJ.2023.0485-22]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/947910
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