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- W4300679436 abstract "Let G be a finite non-nilpotent group such that every Sylow subgroup of G is generated by at most d elements, and such that p is the largest prime dividing |G|. We show that G has a non-nilpotent image G/N, such that N is characteristic and of index bounded by a function of d and p. This result will be used to prove that the index of the Frattini subgroup of G is bounded in terms of d and p. Upper bounds will be given explicitly for soluble groups." @default.
- W4300679436 created "2022-10-04" @default.
- W4300679436 creator A5041846931 @default.
- W4300679436 date "2010-03-24" @default.
- W4300679436 modified "2023-09-26" @default.
- W4300679436 title "On finite groups whose Sylow subgroups have a bounded number of generators" @default.
- W4300679436 doi "https://doi.org/10.48550/arxiv.1003.4722" @default.
- W4300679436 hasPublicationYear "2010" @default.
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