engleski

A class of nonabelian nonmetacyclic finite 2-groups

Let G be a p-group that contains a proper nonmetacyclic subgroup and such that all its subgroups of index p^2 are metacyclic. Such group is called an MC(2)-group. The 2-groups which are MC(2)-groups were already classified by the same authors. In this investigation we classify all the MC(2)-groups whose order is a power of a prime p, p > 2.

finite group; p-group; subgroup; metacyclic; second metacyclic

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