Generalized norms of groups: retrospective review and current status

Тетяна Лукашова, Marina Drushlyak

Type: Article

Publication Date: 2022-01-01

Citations: 2

DOI: https://doi.org/10.12958/adm1968

Abstract

In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm of Abelian non-cyclic subgroups, the norm of decomposable subgroups and relations between them.

Locations

Algebra and Discrete Mathematics - View - PDF

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Works Cited by This (74)

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+	On commutative prime power subgroups of the norm	1958	L. Wos
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+	Groups with Few Normalizer Subgroups	2005	Fausto de Mari Francesco de Giovanni
+	Groups in which every decomposable subgroup is invariant	1971	Ф. Н. Лиман
+ PDF Chat	A note on locally soluble, normal closures of cyclic subgroups	1994	Howard L. Smith
+	Groups with finitely many normalizers of subnormal subgroups	2005	Fausto De Mari Francesco de Giovanni
+	The subgroups of Baer and Hughes	1993	Richard A. Bryce
+	Generalised norms in finite soluble groups	2014	A. Ballester‐Bolinches John Cossey Liangcai Zhang
+	Properties of groups related to the second center	1967	Wolfgang P. Kappe
+ PDF Chat	A note on <i>p</i>-groups with power automorphisms	1992	Richard A. Bryce John Cossey Elizabeth A. Ormerod