Cyclic group of prime-fourth order

From Groupprops
Revision as of 22:36, 14 December 2011 by Vipul (talk | contribs) (Created page with "{{prime-parametrized particular group}} ==Definition== Let <math>p</math> be a prime number. This group is defined as the cyclic group of order <math>p^4</math>. In pa...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

This article is about a family of groups with a parameter that is prime. For any fixed value of the prime, we get a particular group.
View other such prime-parametrized groups

Definition

Let be a prime number. This group is defined as the cyclic group of order .

In particular, it is a cyclic group of prime power order and a finite cyclic group.