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- W118941360 abstract "A recent result of S. Smith and A. Tyrer has illustrated that the Abelian Sylow p-subgroup P is cyclic. Leo j. Alex studied groups satisfying the hypotheses presented by S. Smith and A. Tyrer in the case k = 1. As per a theorem presented in the chapter, if G be a finite simple group of order 2a 3b 5e 7dp, satisfying the hypothesis that if P is a Sylow p-subgroup of G, then |N(P) : P| = 2. Then, G is isomorphic to PSL(3,4) or PSL(2,q) with q = 5, 7, 9, 8, 16, 25, 27, or 81. Another theorem presents the assumption that G is a finite simple group of order pm, p a prime, (p,m) = 1, such that G satisfies the hypothesis that if P is a Sylow p-subgroup of G, then |N(P) : P| = 2. If G has a non-identity ordinary irreducible character X, in B0 (P) with x(1) ≤ 25, then G is isomorphic to PSL(2,q) with q = 5, 7, 9, 8, 11, 13, 16, 23, or 25." @default.
- W118941360 created "2016-06-24" @default.
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- W118941360 date "1976-01-01" @default.
- W118941360 modified "2023-09-27" @default.
- W118941360 title "SIMPLE GROUPS WITH A CYCLIC SYLOW SUBGROUP" @default.
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- W118941360 doi "https://doi.org/10.1016/b978-0-12-633650-4.50029-1" @default.
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