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On the metacyclic epimorphic images of finite p-groups

Yakov Berkovich


Puni tekst: engleski pdf 386 Kb

str. 259-269

preuzimanja: 782

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Sažetak

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.

Ključne riječi

Finite p-groups; metacyclic p-groups; minimal nonabelian p-groups; Schur multiplier; representation group

Hrčak ID:

5851

URI

https://hrcak.srce.hr/5851

Datum izdavanja:

9.12.2006.

Posjeta: 1.466 *