Original scientific paper

Second-metacyclic finite 2-groups

Vladimir Ćepulić
Marijana Ivanković
Elizabeta Kovač Striko

Abstract

Second-metacyclic finite 2-groups are finite 2-groups with some non-metacyclic maximal subgroup and with all second-maximal subgroups being metacyclic. According to a known result there are only four non-metacyclic finite 2-groups with all maximal subgroups being metacyclic. The groups pointed in the title should contain some of these groups as a subgroup of index 2. There are seventeen second-maximal finite 2-groups, four among them being of order 16, ten of order 32 and three of order 64.

Keywords

Finite group; p-group; metacyclic; second-maximal subgroup; second-metacyclic group

Hrčak ID:

398

URI

https://hrcak.srce.hr/398

Publication date:

21.5.2005.

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