Results 11 to 20 of about 267 (42)
A note on the probability of generating alternating or symmetric groups [PDF]
, 2008 We improve on recent estimates for the probability of generating the alternating and symmetric groups $\mathrm{Alt}(n)$ and $\mathrm{Sym}(n)$. In particular we find the sharp lower bound, if the probability is given by a quadratic in $n^{-1}$. This leads
Luke Morgan +6 more
core +4 more sources
Finding involutions with small support [PDF]
, 2012 We show that the proportion of permutations $g$ in $S_n$ or $A_n$ such that $g$ has even order and $g^{|g|/2}$ is an involution with support of cardinality at most $\lceil n^\varepsilon \rceil$ is at least a constant multiple of $\varepsilon$. Using this
Niemeyer, Alice C., Popiel, Tomasz
core +2 more sources
, 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
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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
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
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
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. +4 more
core +3 more sources
Group-theoretic Approach for Symbolic Tensor Manipulation: II. Dummy Indices
, 2001 Computational Group Theory is applied to indexed objects (tensors, spinors, and so on) with dummy indices. There are two groups to consider: one describes the intrinsic symmetries of the object and the other describes the interchange of names of dummy ...
B. F. SVAITER +2 more
core +1 more source
Coloured peak algebras and Hopf algebras [PDF]
, 2005 For $G$ a finite abelian group, we study the properties of general equivalence relations on $G_n=G^n\rtimes \SG_n$, the wreath product of $G$ with the symmetric group $\SG_n$, also known as the $G$-coloured symmetric group.
A. Björner +16 more
core +4 more sources
Conjugation of injections by permutations [PDF]
, 2010 Let X be a countably infinite set, and let f, g, and h be any three injective self-maps of X, each having at least one infinite cycle. (For instance, this holds if f, g, and h are not bijections.) We show that there are permutations a and b of X such ...
E.A. Bertram +5 more
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