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https://doi.org/10.3336/gm.43.1.06

On the number of subgroups of given type in a finite p-group

Yakov Berkovich ; Department of Mathematics, University of Haifa


Puni tekst: engleski pdf 343 Kb

str. 59-95

preuzimanja: 507

citiraj


Sažetak

We study the p-groups G containing exactly p+1 subgroups of order pp and exponent p. A number of counting theorems and results on subgroups of maximal class and p-groups with few subgroups of given type are also proved. Counting theorems play crucial role in the whole paper.

Ključne riječi

p-groups of maximal class; regular and absolutely regular p-groups

Hrčak ID:

23533

URI

https://hrcak.srce.hr/23533

Datum izdavanja:

25.5.2008.

Posjeta: 1.202 *