On finite 2-groups all of whose subgroups are mutually isomorphic (CROSBI ID 151537)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Ćepulić, Vladimir
engleski
On finite 2-groups all of whose subgroups are mutually isomorphic
In this paper we investigate the title groups which we call isomaximal. We give the list of all isomaximal 2-groups with abelian maximal subgroups. Further, we prove some properties of isomaximal 2-groups with nonabelian maximal subgroups. After that, we investigate the structure of isomaximal groups of order less than 64. Finally, in Theorem 14. we show that the minimal nonmetacyclic group of order 32 possesses a unique isomaximal extension of order 64.
p-groups; maximal subgroups; minimal nonabelian; minimal nonmetacycl
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Podaci o izdanju
52 (2)
2009.
254-260
objavljeno
1006-9283
10.1007/s11425-009-0006-x