Glasnik matematički, Vol. 41 No. 2, 2006.
Original scientific paper
On the metacyclic epimorphic images of finite p-groups
Yakov Berkovich
Abstract
We prove that if G is a p-group of order pm > pn, where n > 3 for p = 2 and n > 2 for p > 2, then the number of normal subgroups D of G such that G/D is metacyclic of order pn is a multiple of p, unless G is metacyclic. We also give a very short and elementary proof of the following result: representation groups of nonabelian metacyclic p-groups are metacyclic.
Keywords
Finite p-groups; metacyclic p-groups; minimal nonabelian p-groups; Schur multiplier; representation group
Hrčak ID:
5851
URI
Publication date:
9.12.2006.
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