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on the proportion of elements of prime order in finite symmetric groups
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نویسنده
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praeger cheryl e. ,suleiman enoch
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منبع
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international journal of group theory - 2024 - دوره : 13 - شماره : 3 - صفحه:251 -256
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چکیده
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We give a short proof for an explicit upper bound on the proportion of permutations of a given prime order p, acting on a set of given size n, which is sharp for certain n and p. namely, we prove that if n ≡ k (mod p) with 0 ≤ k ≤ p−1, then this proportion is at most (p · k!)−1 with equality if and only if p ≤ n < 2n.
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کلیدواژه
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finite symmetric groups ,element proportions ,elements of prime order
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آدرس
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university of western australia, centre for the mathematics of symmetry and computation, australia, federal university gashua, department of mathematics, nigeria
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پست الکترونیکی
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enochsuleiman@gmail.com
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Authors
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