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- W1996657983 abstract "Let G be a finite group, p a prime divisor of | G | and suppose that G is not a p -group. In this note, we show that the number of elements x ∈ G such that x p = 1 is at most ( p | G |)/( p + 1). This answers a question posed by D. MacHale. When G is a Frobenius group of order p ( p + 1), p a Mersenne prime, the above bound is attained." @default.
- W1996657983 created "2016-06-24" @default.
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- W1996657983 date "1976-09-01" @default.
- W1996657983 modified "2023-09-27" @default.
- W1996657983 title "The number of solutions of xp = 1 in a finite group" @default.
- W1996657983 cites W2013956538 @default.
- W1996657983 doi "https://doi.org/10.1017/s0305004100052865" @default.
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