RUS  ENG
Full version
JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2009 Issue 4, Pages 55–65 (Mi adm143)

This article is cited in 1 paper

RESEARCH ARTICLE

Groups with many self-normalizing subgroups

M. De Falco, F. de Giovanni, C. Musella

Dipartimento di Matematica e Applicazioni, via Cintia, I – 80126 Napoli (Italy)

Abstract: This paper investigates the structure of groups in which all members of a given relevant set of subgroups are self-normalizing. In particular, soluble groups in which every non-abelian (or every infinite non-abelian) subgroup is self-normalizing are described.

Keywords: self-normalizing subgroup, minimal non-abelian group.

MSC: 20F19

Received: 09.08.2009
Revised: 09.08.2009

Language: English



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024