Geodesic
On the structure of finite groups isospectral to an alternating group
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 45-60

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It is proved that every finite group isospectral to an alternating group $A_n$ of degree $n$ greater than 21 has a chief factor isomorphic to an alternating group $A_k$, where $k\le n$ and the half-interval $(k,n]$ contains no primes.
Keywords: finite groups, alternating groups, spectrum of a group, isospectral groups, chief factors. 
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I. A. Vakula. On the structure of finite groups isospectral to an alternating group. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 3, pp. 45-60. http://geodesic.mathdoc.fr/item/TIMM_2010_16_3_a3/