Periodic linear groups factorized by mutually permutable subgroups

Maria Ferrara; Marco Trombetti

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 4, page 1229-1254
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Ferrara, Maria, and Trombetti, Marco. "Periodic linear groups factorized by mutually permutable subgroups." Czechoslovak Mathematical Journal 73.4 (2023): 1229-1254. <http://eudml.org/doc/299452>.

@article{Ferrara2023,
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.},
author = {Ferrara, Maria, Trombetti, Marco},
journal = {Czechoslovak Mathematical Journal},
keywords = {mutually permutable subgroup; periodic linear group},
language = {eng},
number = {4},
pages = {1229-1254},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Periodic linear groups factorized by mutually permutable subgroups},
url = {http://eudml.org/doc/299452},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Ferrara, Maria
AU - Trombetti, Marco
TI - Periodic linear groups factorized by mutually permutable subgroups
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 4
SP - 1229
EP - 1254
AB - 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.
LA - eng
KW - mutually permutable subgroup; periodic linear group
UR - http://eudml.org/doc/299452
ER -

References

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