nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2
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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.
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Journal title:
journal of algebra and related topicsPublisher: university of guilan
ISSN 2345-3931
volume 3
issue 2 2016
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