Mikhak Polkouei Articles List

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Issue 1 Vol 13 Winter 2024

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List of Articles Mikhak Polkouei

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1 - Probability of having $n^{th}$-roots and n-centrality of two classes of groups
M. Hashemi M. Polkouei
20.1001.1.22520201.2016.05.01.6.5

In this paper, we consider the finitely 2-generated groups $K(s,l)$ and $G_m$ as follows:$$K(s,l)=\langle a,b|ab^s=b^la, ba^s=a^lb\rangle,\\G_m=\langle a,b|a^m=b^m=1, {[a,b]}^a=[a,b], {[a,b]}^b=[a,b]\rangle$$and find the explicit formulas for the probability of having n More

In this paper, we consider the finitely 2-generated groups $K(s,l)$ and $G_m$ as follows:$$K(s,l)=\langle a,b|ab^s=b^la, ba^s=a^lb\rangle,\\G_m=\langle a,b|a^m=b^m=1, {[a,b]}^a=[a,b], {[a,b]}^b=[a,b]\rangle$$and find the explicit formulas for the probability of having nth-roots for them. Also, weinvestigate integers n for which, these groups are n-central. Manuscript profile

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2 - On the automorphism groups of 2-generator 2-groups of class two
M. Hashemi M. Polkouei
20.1001.1.22520201.2021.10.02.6.2

In this paper, by using the relations and properties of some classes of two generator2-groups of nilpotency class two, we find the order of automorphism group of these groups.

In this paper, by using the relations and properties of some classes of two generator2-groups of nilpotency class two, we find the order of automorphism group of these groups. Manuscript profile

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