Original scientific paper

2-groups with a self-centralizing abelian subgroup of type (4,2)

Zvonimir Janko

Abstract

In this paper we classify finite 2-groups G which possess a self-centralizing abelian subgroup A of type (4,2). In the difficult case, where A is contained in the Frattini subgroup (G), we describe the structure of the group G in great detail. In the other case, where A (G), there is an open problem.

Keywords

Finite 2-groups; self-centralizing subgroups; Frattini subgroups; minimal nonabelian 2-groups; dihedral; semi-dihedral; generalized quaternian 2-groups

Hrčak ID:

1246

URI

https://hrcak.srce.hr/1246

Publication date:

29.11.2004.

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