Glasnik matematički, Vol. 43 No. 1, 2008.
Original scientific paper
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
Abstract
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.
Keywords
p-groups of maximal class; regular and absolutely regular p-groups
Hrčak ID:
23533
URI
Publication date:
25.5.2008.
Visits: 919 *