Geodesic
A~characterization of alternating groups
Algebra i logika, Tome 44 (2005) no. 1, pp. 54-69.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a group $G$ generated by a conjugacy class $X$ of elements of order 3, so that every two non-commuting elements of $X$ generate a subgroup isomorphic to an alternating group of degree 4 or 5, is locally finite. More precisely, either $G$ contains a normal elementary 2-subgroup of index 3, or $G$ is isomorphic to an alternating group of permutations on some (possibly infinite) set.
Keywords: alternating group, locally finite group. 
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V. D. Mazurov. A~characterization of alternating groups. Algebra i logika, Tome 44 (2005) no. 1, pp. 54-69. http://geodesic.mathdoc.fr/item/AL_2005_44_1_a3/

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