학술논문

Finite p-groups in which the number of subgroups of possible order is less than or equal to p3.
Document Type
Article
Source
Chinese Annals of Mathematics. Jul2010, Vol. 31 Issue 4, p497-506. 10p.
Subject
*ABELIAN equations
*ABELIAN groups
*GROUP algebras
*ALGEBRA
*MATHEMATICS
Language
ISSN
0252-9599
Abstract
In this paper, groups of order p n in which the number of subgroups of possible order is less than or equal to p3 are classified. It turns out that if p > 2, n ≥ 5, then the classification of groups of order p n in which the number of subgroups of possible order is less than or equal to p3 and the classification of groups of order p n with a cyclic subgroup of index p2 are the same. [ABSTRACT FROM AUTHOR]