Geodesic
On tensor squares of irreducible representations of almost simple groups.~I
Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 130-141

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Almost simple $\mathrm{SM}_m$-groups are considered. A group $G$ is called a $\mathrm{SM}_m$-group if the tensor square of any irreducible representation is decomposed into the sum of its irreducible representations with multiplicities not greater than $m$. In the first part of this article we consider simple groups. It turned out that among them only groups $L_2(q)$, $q=2^t$, $t>1$, are $\mathrm{SM}_2$-groups.
Keywords: SR-groups, SM$_m$-groups, almost simple groups, automorphisms, GAP. 
@article{MAIS_2011_18_1_a11,
     author = {S. V. Polyakov},
     title = {On tensor squares of irreducible representations of almost simple {groups.~I}},
     journal = {Modelirovanie i analiz informacionnyh sistem},
     pages = {130--141},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a11/}
}
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S. V. Polyakov. On tensor squares of irreducible representations of almost simple groups.~I. Modelirovanie i analiz informacionnyh sistem, Tome 18 (2011) no. 1, pp. 130-141. http://geodesic.mathdoc.fr/item/MAIS_2011_18_1_a11/