Results 11 to 20 of about 97,370 (265)
Permutation Groups Generated by γ-Cycles
Axioms, 2022 A γ-cycle is a cycle of the form (i+1,i+2,…,i+m) in the symmetric group Sn. We study the subgroups of Sn generated by several sets of γ-cycles. Our mathematical development is strongly supported by computational experiments and proofs based on do-it ...
Răzvan Diaconescu
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Index graphs of finite permutation groups
Indonesian Journal of Combinatorics, 2022 Let G be a subgroup of Sn. For x ∈ G, the index of x in G is denoted by ind x is the minimal number of 2-cycles needed to express x as a product. In this paper, we define a new kind of graph on G, namely the index graph and denoted by Γind(G). Its vertex
Haval Mohammed Salih
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Permutation Polytopes of Cyclic Groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We investigate the combinatorics and geometry of permutation polytopes associated to cyclic permutation groups, i.e., the convex hulls of cyclic groups of permutation matrices.
Barbara Baumeister +3 more
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On Abelian Permutation Groups [PDF]
Canadian Mathematical Bulletin, 1965 The principal object of this note is to determine the maximal order of Abelian subgroups of the symmetric group sn of degree n.
Bercov, R., Moser, L.
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The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 [PDF]
International Journal of Group Theory, 2021 We calculate the character table of a sharply $5$-transitive subgroup of $\alter(12)$, and of a sharply $4$-transitive subgroup of $\alter(11)$. Our presentation of these calculations is new because we make no reference to the sporadic simple Mathieu
Nick Gill, Sam Hughes
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Computing permutation groups of error-correcting codes
Lietuvos Matematikos Rinkinys, 2000 There is not abstract.
Gintaras Skersys
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On the diameter of permutation groups [PDF]
Annals of Mathematics, 2014 42 pages. Minimal additions. Last version, to appear in Ann.
Helfgott, Harald Andrés, Seress, Ákos
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Rational and quasi-permutation representations of holomorphs of cyclic $p$-groups [PDF]
International Journal of Group Theory, 2022 For a finite group $G$, three of the positive integers governing its representation theory over $\mathbb{C}$ and over $\mathbb{Q}$ are $p(G),q(G),c(G)$.
Soham Pradhan, B. Sury
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Magic informationally complete POVMs with permutations [PDF]
Royal Society Open Science, 2017 Eigenstates of permutation gates are either stabilizer states (for gates in the Pauli group) or magic states, thus allowing universal quantum computation (Planat, Rukhsan-Ul-Haq 2017 Adv. Math. Phys. 2017, 5287862 (doi:10.1155/2017/5287862)).
Michel Planat, Zafer Gedik
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ON THE SPECTRUM OF DERANGEMENT GRAPHS OF ORDER A PRODUCT OF THREE PRIMES [PDF]
Journal of Algebraic Systems, 2019 A permutation with no fixed points is called a derangement. The subset $mathcal{D}$ of a permutation group is derangement if all elements of $mathcal{D}$ are derangement.
Modjtaba Ghorbani, Mina Rajabi-Parsa
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