Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 177, Pages 102–110
DOI: https://doi.org/10.36535/0233-6723-2020-177-102-110 (Mi into604) 		 
Groups with finitely many isomorphic classes of relevant subgroups

L. A. Kurdachenkoa, P. Longobardib, M. Majb

a Dnepropetrovsk National University
b University of Salerno
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DOI: https://doi.org/10.36535/0233-6723-2020-177-102-110
Abstract: We study groups possessing the following property: for some relevant families $\mathcal{M}$ of subgroups of $G$, subgroups from $\mathcal{M}$ fall into finitely many isomorphic classes.
Keywords: radical group, family of subgroups, normal subgroup, Dedekind group, Chernikov group.
Funding agency Grant number
National Group for Algebraic and Geometric Structures and Their Applications
This work was supported by the “National Group for Algebraic and Geometric Structures and Their Applications” (GNSAGA–INdAM), Italy.
Document Type: Article
UDC: 512.542.63, 512.544
MSC: 20E07, 20F14, 20F19, 20F22
Language: Russian
Citation: L. A. Kurdachenko, P. Longobardi, M. Maj, “Groups with finitely many isomorphic classes of relevant subgroups”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 177, VINITI, Moscow, 2020, 102–110
Citation in format AMSBIB
\Bibitem{KurLonMaj20}
\by L.~A.~Kurdachenko, P.~Longobardi, M.~Maj
\paper Groups with finitely many isomorphic classes of relevant subgroups
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 177
\pages 102--110
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into604}
\crossref{https://doi.org/10.36535/0233-6723-2020-177-102-110}
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