Derangements in Sylow subgroups of symmetric groups
Ars Comb., 1997Let \(p\) be a prime, and \(H_n\) a Sylow \(p\)-subgroup in \(S_n\). The authors find a recursive formula that expresses the number \(h_n\) of derangements (i.e.~permutations with no point fixed) in \(H_n\). If \(f_n=h_n/|H_n|\) and \(g_n=(f_1+\cdots+f_n)/n\), then, as they show, the sequence \(g_n\) converges to \(0\), while the set \(\{f_n;\;n\geq 1\}
Brian Peterson, Linda Valdes
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Orbits of Sylow subgroups of finite permutation groups
Journal of Algebra, 2022John Bamberg +2 more
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The Rationality of Sylow 2-Subgroups of Solvable $$\mathbb {Q}_{1}$$-Groups
Bulletin of the Iranian Mathematical Society, 2022Mark L Lewis, Lewis Mark L
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A solvability criterion for finite groups related to the number of Sylow subgroups
Communications in Algebra, 2020Sajjad Mahmood Robati
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Addendum to "The Intersection of Sylow Subgroups"
Proceedings of the American Mathematical Society, 1977openaire +2 more sources
A note on restriction of characters of alternating groups to Sylow subgroups
Journal of Algebra, 2019Eugenio Giannelli
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On the restriction of irreducible characters of symmetric groups to Sylow p-subgroups
Journal of Algebra, 2017Eugenio Giannelli
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On permutation characters and Sylow p-subgroups of S n
Journal of Algebra, 2018Eugenio Giannelli, Stacey Law
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