Glasnik matematički, Vol. 39 No. 2, 2004.
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
Publication date:
29.11.2004.
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