Abstract
Publisher Summary This chapter discusses the nilpotency index of the radical of group algebra IX. Let p be a fixed prime number, G be a finite p-solvable group with a p-Sylow subgroup P, K be a field of characteristic p, and t (G) be the nilpotency index of the radical J (KG) of group algebra K of G over K. It follows from Morita's theorem and Villamayor's theorem that t (G) = t (P) for a group G of p-length 1.
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