JP Journal of Algebra, Number Theory and Applications
Volume 3, Issue 2, Pages 211 - 218
(August 2003)
|
|
CLASSIFICATION OF MINIMAL PN-GROUPS
M. R. Darafsheh (Iran), A. R. Moghaddamfar (Iran) and A. R. Zokayi (Iran)
|
Abstract: Let G be a finite
group. A subgroup of G of prime order is
called a minimal subgroup of G. We say
G is a PN-group if every minimal subgroup is
normal in G. In this paper, we have
classified all minimal non-abelian PN-groups of
prime power order, and minimal non-nilpotent PN-groups. |
Keywords and phrases: PN-groups, minimal non-nilpotent, minimal non-abelian. |
|
Number of Downloads: 12 | Number of Views: 1122 |
|