Abstract
In this note, we obtain the number of conjugacy classes in a finite solvable group as a function of any tuple of the composition factors ofG. Using this relation, we give a new elementary proof of one of Mann's results for solvable groups, without using character theory, and we improve this result for some classes of groups.
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López, A.V. Conjugacy classes in finite solvable groups. Israel J. Math. 47, 241–245 (1984). https://doi.org/10.1007/BF02760519
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DOI: https://doi.org/10.1007/BF02760519