On D-maximal groups
Document Type
Article
Publication Date
1-1-2009
Abstract
Let G be a finite p-group and let d(G) denote the cardinality of a minimal generating set of G. G is said to be d-maximal if d(H) < d(G) for any proper subgroup H of G. In this paper we show that if G is a d-maximal p-group where p is odd, then G has exponent p or p 2. For p = 2, we show that under certain conditions, a d-maximal 2-group has exponent four. We then give some classes of d-maximal p-groups. We also investigate relations between powerful p-groups and d-maximal groups.
Keywords
Finite P-Group, Non-Normal, Maximal Subgroup
Divisions
MathematicalSciences
Publication Title
Rendiconti del Seminario Matematico
Volume
67
Issue
1
Publisher
Università e Politecnico di Torino
COinS