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.
Polkouei, M., & Hashemi, M. (2015). nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2. Journal of Algebra and Related Topics, 3(2), 61-71.
MLA
M. Polkouei; M. Hashemi. "nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2". Journal of Algebra and Related Topics, 3, 2, 2015, 61-71.
HARVARD
Polkouei, M., Hashemi, M. (2015). 'nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2', Journal of Algebra and Related Topics, 3(2), pp. 61-71.
VANCOUVER
Polkouei, M., Hashemi, M. nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2. Journal of Algebra and Related Topics, 2015; 3(2): 61-71.
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