# nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2

Document Type: Research Paper

Authors

University of Guilan

Abstract

Here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. Also we find integers $n$ for which, these groups are $n$-central.

Keywords