Abstract:
The author studies groups with given restrictions on norms of decomposable and Abelian non-cyclic subgroups. The properties of non-periodic locally soluble groups, in which such norms are nonidentity and have the identity intersection, are described.
Keywords:
locally soluble groups, non-periodic group, decomposable group, generalized norms of groups, norm of decomposable subgroups, norm of Abelian non-cyclic subgroups, non-Dedekind group.
\Bibitem{Luk20}
\by T.~Lukashova
\paper Locally soluble groups with the restrictions on the generalized norms
\jour Algebra Discrete Math.
\yr 2020
\vol 29
\issue 1
\pages 85--98
\mathnet{http://mi.mathnet.ru/adm741}
\crossref{https://doi.org/10.12958/adm1527}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000533656800008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85085108822}
Linking options:
https://www.mathnet.ru/eng/adm741
https://www.mathnet.ru/eng/adm/v29/i1/p85
This publication is cited in the following 3 articles:
T. D. Lukashova, M. G. Drushlyak, “Infinite locally finite groups groups with the given properties of the norm of Abelian non-cyclic subgroups”, Mat. Stud., 62:1 (2024), 11
T. Lukashova, M. Drushlyak, “Generalized norms of groups: retrospective review and current status”, ADM, 34:1 (2022), 105
M. Drushlyak, T. Lukashova, “Non-periodic groups with the restrictions on the norm of cyclic subgroups of non-prime order”, Mat. Stud., 58:1 (2022), 36
Citation in format AMSBIB
Contact us: