gholamreza rezaeezadeh university of shahrekord mohammad reza darafsheh university of tehran ebrahim mirdamadi university of shahrekord
in this paper, we determine the simple groups $g=ab$, where $b$ is isomorphic to $l_{3}(4)$ and $a$ isomorphic to an alternating or a symmetric group on $ngeq5$, letters.
In the past few decades there has been considerable interest in word maps on groups with emphasis (non-abelian) finite simple groups. Various asymptotic results (holding for sufficiently large groups) have obtained. More recently non-asymptotic all emerged, particular words (commutators and certain power words) which are not an identity of any group. this paper we initiate a systematic study ab...