Exhibition of normal distribution in finite p-groups
Date
2017
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific & Academic Publishing
Abstract
Suppose that G is a group of order m p and n ≤ m. Let Sn(G) be the number of subgroups of order p n in G. Then, the number of subgroups of order pn is normally distributed with respect to n, where n is a positive integer.
Description
Keywords
P-groups, Hall’s enumeration principle, Elementary abelian group, Trivial subgroup, Symmetric distribution