Abstract
For a finite group G denote by N(G) the set of conjugacy class lengths. We prove that a finite group G with Z(G) = 1 and N(G) = N(A 10) is isomorphic to A 10.
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Pientka, G. A characterization of the alternating group A 10 by its conjugacy class lengths. Beitr Algebra Geom 53, 273–280 (2012). https://doi.org/10.1007/s13366-011-0042-x
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DOI: https://doi.org/10.1007/s13366-011-0042-x