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- W3040130306 abstract "Let G be a finite group and let π(G) be the set of primes dividing the order of G. For each p∈π(G), the Sylow theorems state that the number of Sylow p-subgroups of G is equal to kp + 1 for some non-negative integer k. In this article, we characterize non-solvable groups G containing at most p2+1 Sylow p-subgroups for each p∈π(G). In particular, we show that each finite group G containing at most (p−1)p+1 Sylow p-subgroups for each p∈π(G) is solvable." @default.
- W3040130306 created "2020-07-10" @default.
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- W3040130306 date "2020-06-28" @default.
- W3040130306 modified "2023-09-26" @default.
- W3040130306 title "A solvability criterion for finite groups related to the number of Sylow subgroups" @default.
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- W3040130306 doi "https://doi.org/10.1080/00927872.2020.1782418" @default.
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