2022-05-25T19:45:39Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000120222021-03-01T11:36:44ZNilpotency Indices of the Radicals of Finite p-Solvable Group Algebras, IVNINOMIYA, YasushiIn [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is the nilpotency index of the (Jacobson) radical of k[G], k a field of characteristic p, and pm is the highest power of p dividing the order of G. In the paper cited above, we have given only an outline of the proof of the result for p = 3 ([2, Theorem 11]). To complete the proof of the theorem, we need somewhat complicated calculation, and we have given in [3] and [4] two parts of such calculations. The aim of this paper is to give one more such calculation and complete the proof of the theorem.Article信州大学理学部紀要 36(1): 9-28(2001)信州大学理学部2001-12-14engdepartmental bulletin paperhttp://hdl.handle.net/10091/10674https://soar-ir.repo.nii.ac.jp/records/120220583-063XAA00697923信州大学理学部紀要361928https://soar-ir.repo.nii.ac.jp/record/12022/files/Science36-01-02.pdfapplication/pdf602.4 kB2015-09-28