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Second-metacyclic finite 2-groups

2005; University of Zagreb; Volume: 40; Issue: 1 Linguagem: Inglês

10.3336/gm.40.1.07

ISSN

1846-7989

Autores

Vladimir Ćepulić,

Tópico(s)

graph theory and CDMA systems

Resumo

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.

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