Results 11 to 20 of about 162,537 (268)
Collineation group as a subgroup of the symmetric group [PDF]
Open Mathematics, 2013 AbstractLet ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_\psi $ of the set ψ.
Bogomolov Fedor, Rovinsky Marat
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The Characters of the Symmetric Group [PDF]
American Journal of Mathematics, 1937 A short and simple derivation of the formula of Frobenius, which gives the dimensions of the irreducible representations of S n , the symmetric group on any number, n , of symbols, is ...
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Symmetric groups and expanders [PDF]
Electronic Research Announcements of the American Mathematical Society, 2005 We construct explicit generating sets F n F_n and F ~ n \tilde F_n of the alternating and the symmetric groups, which turn the Cayley graphs C ( A l t (
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On Coprimality Graphs for Symmetric Groups [PDF]
Graphs and Combinatorics, 2012 Let \(G\) be a group, \(X\) be a subset of \(G\) and \(\pi\) be a set of positive integers. We define a graph \(C_\pi(G,X)\) whose vertex set is \(X\) with \(x,y\in X\) joined by an edge provided \(x\neq y\) and the order of \(xy\) is in \(\pi\). Because \(xy\) and \(yx\) are conjugate elements of \(G\), this graph is undirected.
John Ballantyne +2 more
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Statistical physics of the symmetric group [PDF]
Physical Review E, 2017 12 pages, 4 figures, 1 ...
Williams, Mobolaji, Shakhnovich, Eugene
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Word Measures on Symmetric Groups
International Mathematics Research Notices, 2022 AbstractFix a word $ w $ in a free group $ \textbf {F}$ on $r$ generators. A $w$-random permutation in the symmetric group $S_{N}$ is obtained by sampling $r$ independent uniformly random permutations $ \sigma _{1},\ldots ,\sigma _{r}\in S_{N}$ and evaluating $w\left (\sigma _{1},\ldots ,\sigma _{r}\right )$.
Hanany, Liam, Puder, Doron
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Symmetric difference in abelian groups [PDF]
Pacific Journal of Mathematics, 1978 A groupoid 21 = ζA; *> is called a left (resp. right) difference group if there is a binary operation + in A such that the system is an abelian group and x*y — —x + y (resp. x * y = x ~ y). A symmetric difference group is a groupoid satisfying all the identities common to both left and right difference groups.
Grätzer, G., Padmanabhan, R.
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Factorization of groups involving symmetric and alternating groups
International Journal of Mathematics and Mathematical Sciences, 2001 We obtain the structure of finite groups of the form G=AB where B is a group isomorphic to the symmetric group on n letters Sn, n≥5 and A is a group isomorphic to the alternating group on 6 letters.
M. R. Darafsheh, G. R. Rezaeezadeh
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