Results 31 to 40 of about 4,080,638 (238)
Symmetric groups and conjugacy classes [PDF]
Journal of Group Theory, 2008 Let S_n be the symmetric group on n-letters. Fix n>5. Given any nontrivial $ , \in S_n$, we prove that the product $ ^{S_n} ^{S_n}$ of the conjugacy classes $ ^{S_n}$ and $ ^{S_n}$ is never a conjugacy class. Furthermore, if n is not even and $n$ is not a multiple of three, then $ ^{S_n} ^{S_n}$ is the union of at least three distinct ...
Adan-Bante, Edith, Verrill, Helena
openaire +3 more sources
Extending Snow’s algorithm for computations in the finite Weyl groups
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 In 1990, D. Snow proposed an effective algorithm for computing the orbits of finite Weyl groups. Snow’s algorithm is designed for computation of weights, W-orbits, and elements of the Weyl group. An extension of Snow’s algorithm is proposed, which allows
Rafael Stekolshchik
doaj +1 more source
On higher dimensional self-similar axion–dilaton solutions
European Physical Journal C: Particles and Fields, 2020 We show that solutions of the self-similar gravitational collapse in the Einstein-axion–dilaton system exist in higher-dimensional spacetimes. These solutions are invariant under spacetime dilation combined with internal SL(2, $$\mathbb {R}$$ R ...
Ehsan Hatefi, Eleonora Vanzan
doaj +1 more source
Finite groups have more conjugacy classes [PDF]
, 2015 We prove that for every $\epsilon > 0$ there exists a $\delta > 0$ so that every group of order $n \geq 3$ has at least $\delta \log_{2} n/{(\log_{2} \log_{2} n)}^{3+\epsilon}$ conjugacy classes. This sharpens earlier results of Pyber and Keller. Bertram
B. Baumeister +2 more
semanticscholar +1 more source
Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups [PDF]
, 2006 We describe the conjugacy classes of affine automorphisms in the group $Aut(n,\K)$ (respectively $Bir(\K^n)$) of automorphisms (respectively of birational maps) of $\K^n$.
Blanc, Jérémy
core +4 more sources
Graphs associated to conjugacy classes of normal subgroups in finite groups [PDF]
, 2015 Let G be a finite group and let N be a normal subgroup of G . We attach to N two graphs Γ G ( N ) and Γ G ⁎ ( N ) related to the conjugacy classes of G contained in N and to the set of primes dividing the sizes of these classes, respectively.
A. Beltrán, M. J. Felipe, C. Melchor
semanticscholar +1 more source
Real and strongly real classes in SLn(q) [PDF]
, 2011 We classify the real and strongly real conjugacy classes in GLn(q) and SLn(q). In each case we give a formula for the number of real, and the number of strongly real, conjugacy classes.
Gill, Nick, Singh, Anupam
core +1 more source
Linear Groups with Restricted Conjugacy Classes [PDF]
Ricerche di Matematica, 2021 AbstractIn this paper we characterize, in terms of their conjugacy classes, linear groups G such that $$G/\zeta _k(G)$$ G / ζ k ( G
de Giovanni F. +2 more
openaire +3 more sources
Integrable branes in generalized λ-deformations
Journal of High Energy Physics, 2022 We search for integrable boundary conditions and their geometric interpretation as D-branes, in models constructed as generalized λ-deformations of products of group- and coset-spaces.
Georgios P. D. Pappas
doaj +1 more source
Morse theory and conjugacy classes of finite subgroups II [PDF]
, 2009 We construct a hyperbolic group with a finitely presented subgroup, which has infinitely many conjugacy classes of finite-order elements. We also use a version of Morse theory with high dimensional horizontal cells and use handle cancellation arguments
Brady, Noel, Clay, Matt, Dani, Pallavi
core +3 more sources