Results 11 to 20 of about 298 (62)

2-closures of primitive permutation groups of holomorph type

Open Mathematics, 2019
The 2-closure G(2) of a permutation group G on a finite set Ω is the largest subgroup of Sym(Ω) which has the same orbits as G in the induced action on Ω × Ω.
Yu Xue, Pan Jiangmin
doaj   +1 more source

Correction to ‘Shifted convolution and the Titchmarsh divisor problem over Fq[t] [PDF]

, 2016
PublishedCorrection to original article: Phil. Trans. R. Soc. A 373, 20140308 (28 April 2015; Published online 23 March 2015) (doi:10.1098/rsta.2014.0308). Two of the equations in the original article contained a typographical error.
Andrade, JC, Bary-Soroker, L, Rudnick, Z
core   +2 more sources

Jucys-Murphy elements and Weingarten matrices [PDF]

, 2010
We provide a compact proof of the recent formula of Collins and Matsumoto for the Weingarten matrix of the orthogonal group using Jucys-Murphy elements.Comment: v2: added a ...
Zinn-Justin, P.
core   +1 more source

Symmetric groups and conjugacy classes [PDF]

, 2007
Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $\alpha,\beta\in S_n$, we prove that the product $\alpha^{S_n}\beta^{S_n}$ of the conjugacy classes $\alpha^{S_n}$ and $\beta^{S_n}$ is never a conjugacy class.
Adan-Bante E., Bédard F., Edith Adan-Bante, Helena Verrill, Xu C.-H.   +4 more
core   +3 more sources

On Schur 3-groups [PDF]

, 2015
Let $G$ be a finite group. If $\Gamma$ is a permutation group with $G_{right}\leq\Gamma\leq Sym(G)$ and $\mathcal{S}$ is the set of orbits of the stabilizer of the identity $e=e_{G}$ in $\Gamma$, then the $\mathbb{Z}$-submodule $\mathcal{A}(\Gamma,G ...
Ryabov, Grigory
core   +2 more sources

Bi-quartic parametric polynomial minimal surfaces

, 2015
Minimal surfaces with isothermal parameters admitting B\'{e}zier representation were studied by Cosin and Monterde. They showed that, up to an affine transformation, the Enneper surface is the only bi-cubic isothermal minimal surface.
Kassabov, Ognian, Vlachkova, Krassimira
core   +1 more source

Algebraically determined topologies on permutation groups [PDF]

, 2012
In this paper we answer several questions of Dikran Dikranjan about algebraically determined topologies on the group of (finitely supported) permutations of a set X.Comment: 10 ...
Arkhangelʼskii, Banakh, Banakh, Banakh, Bryant, Comfort, Dierolf, Dikranjan, Dikranjan, Dikranjan, Dikranjan, Dikranjan, Dikranjan, Engelking, Gamarnik, Gaughan, Guran, Guran, Igor Guran, Igor Protasov, Kallman, Kaplansky, Kechris, Klyachko, Lukács, Lutsenko, Markov, Olʼshanskii, Robinson, Rosendal, Sipacheva, Taimanov, Taras Banakh, Ulam, Uspenskij, van Mill, Velickovic, Zelenyuk, Zelenyuk   +38 more
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1-Colored Archetypal Permutations and Strings of Degree n [PDF]

Memoirs of the Scientific Sections of the Romanian Academy, 2012
New notions related to permutations are introduced here. We present the string of a 1-colored permutation as a closed planar curve, the fundamental 1-colored permutation as an equivalence class related to the equivalence in strings of the 1-colored ...
Gheorghe Eduard Tara
doaj  

Impartial avoidance and achievement games for generating symmetric and alternating groups [PDF]

, 2016
We study two impartial games introduced by Anderson and Harary. Both games are played by two players who alternately select previously-unselected elements of a finite group.
Benesh, Bret J., Ernst, Dana C., Sieben, Nandor   +2 more
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Improved covering results for conjugacy classes of symmetric groups via hypercontractivity

Forum of Mathematics, Sigma
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld   +2 more
doaj   +1 more source