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.
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The authors are supported by GNSAGA (INdAM) and are members of the non-profit association “Advances in Group Theory and Applications” (https://www.advgrouptheory.com). Open Access funding provided by Università degli Studi di Napoli Federico II within the CRUI-CARE Agreement.
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Ferrara, M., Trombetti, M. Periodic linear groups factorized by mutually permutable subgroups. Czech Math J 73, 1229–1254 (2023). https://doi.org/10.21136/CMJ.2023.0485-22
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DOI: https://doi.org/10.21136/CMJ.2023.0485-22