Vahagn H. Mikaelian

activity

20002024

most citedOn varieties of groups generated by wreath products of abelian groups

15 citations · 28 across the 14 of their papers we have counts for

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Showing 2015Show all

3 papers · 1 filter

math.GR2015

On $K_{p}$ -series and varieties generated by wreath products of $p$ -groups

Vahagn H. Mikaelian

Let $A$ be a nilpotent $p$ -group of finite exponent, and $B$ be an abelian $p$ -groups of finite exponent. Then the wreath product $A Wr B$ generates the variety ${\rm var}(A)…

math.GR2015

The Criterion of Shmel'kin and Varieties Generated by Wreath Products of Finite Groups

Vahagn H. Mikaelian

We present a general criterion under which the equality var(A Wr B) = var(A) var(B) holds for finite groups A and B. This continues our previous research on varieties, generated by…

math.GR2015

Varieties generated by wreath products of abelian and nilpotent groups

Vahagn H. Mikaelian

We present a survey of our recent research on varieties, generated by wreath products of groups. In particular, the full classification of all cases, when the (cartesian or direct)…

On Kp​-series and varieties generated by wreath products of p-groups

The Criterion of Shmel'kin and Varieties Generated by Wreath Products of Finite Groups

Varieties generated by wreath products of abelian and nilpotent groups

On $K_{p}$ -series and varieties generated by wreath products of $p$ -groups