Abstract
This paper solves theS 3-conjecture for solvable groups proving that a nontrivial finite solvable group in which no two distinct conjugacy classes have the same order is isomorphic toS 3.
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Knörr, R., Lempken, W. & Thielcke, B. TheS 3-conjecture for solvable groups. Israel J. Math. 91, 61–76 (1995). https://doi.org/10.1007/BF02761639
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DOI: https://doi.org/10.1007/BF02761639