A. Abdollahi

most citedA combinatorial problem in infinite groups

3 citations · 3 across the 3 of their papers we have counts for

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math.GR2002★ 3 cited

A combinatorial problem in infinite groups

Alireza Abdollahi

Let $w$ be a word in the free group of rank $n \in N$ and let $V (w)$ be the variety of groups defined by the law $w = 1$ . Define $V (w^{*})$ to be the class…

math.GR2002

Certain locally nilpotent varieties of groups

Alireza Abdollahi

Let $c \geq 0$ , $d \geq 2$ be integers and $N_{c}^{(d)}$ be the variety of groups in which every $d$ -generator subgroup is nilpotent of class at most $c$ . N.D. Gupta posed th…

math.GR2002

Left 3-Engel elements in groups

Alireza Abdollahi

In this paper we study left 3-Engel elements in groups. In particular, we prove that for any prime $p$ and any left 3-Engel element $x$ of finite $p$ -power order in a group $G$ , $x…