This paper investigates subnormality and its generalizations in the universe of linear groups. Among other results, it is proved that in any periodic linear group serial subgroups are ascendant, while descendant subgroups are subnormal. Moreover, the join of subnormal subgroups of linear groups is studied.
Subnormality in linear groups / de Giovanni, F.; Trombetti, M.; Wehrfritz, B. A. F.. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 227:2(2023), p. 107185. [10.1016/j.jpaa.2022.107185]
Subnormality in linear groups
de Giovanni F.
;Trombetti M.;
2023
Abstract
This paper investigates subnormality and its generalizations in the universe of linear groups. Among other results, it is proved that in any periodic linear group serial subgroups are ascendant, while descendant subgroups are subnormal. Moreover, the join of subnormal subgroups of linear groups is studied.File in questo prodotto:
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