Geodesic
Generation by conjugate elements of finite almost simple groups with a sporadic socle
The Bulletin of Irkutsk State University. Series Mathematics, Tome 49 (2024), pp. 135-142

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We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms. These results refine the estimates obtained earlier in the papers by Guralnick and Saxl and by Di Martino, Pellegrini, and Zalesski.
Keywords: Fischer group, generators, Baer–Suzuki theorem.
Mots-clés : sporadic group, conjugacy 
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     author = {D. O. Revin and A. V. Zavarnitsine},
     title = {Generation by conjugate elements of finite almost simple groups with a sporadic socle},
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D. O. Revin; A. V. Zavarnitsine. Generation by conjugate elements of finite almost simple groups with a sporadic socle. The Bulletin of Irkutsk State University. Series Mathematics, Tome 49 (2024), pp. 135-142. http://geodesic.mathdoc.fr/item/IIGUM_2024_49_a9/