Results 21 to 30 of about 268 (44)

Conjugation of injections by permutations [PDF]

open access: yes, 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
core   +1 more source

Generating infinite symmetric groups

open access: yes, 2004
Let S=Sym(\Omega) be the group of all permutations of an infinite set \Omega. Extending an argument of Macpherson and Neumann, it is shown that if U is a generating set for S as a group, respectively as a monoid, then there exists a positive integer n ...
George M. Bergman, M. Bergman
core   +3 more sources

Bilinear identities on Schur symmetric functions

open access: yes, 2010
A series of bilinear identities on the Schur symmetric functions is obtained with the use of Pluecker relations.Comment: Accepted to Journal of Nonlinear Mathematical Physics.
Fulmek M.   +6 more
core   +1 more source

Totally positive matrices and dilogarithm identities

open access: yes, 2018
We show that two involutions on the variety $N_n^+$ of upper triangular totally positive matrices are related, on the one hand, to the tetrahedron equation and, on the other hand, to the action of the symmetric group $S_3$ on some subvariety of $N_n ...
Bytsko, Andrei, Volkov, Alexander
core   +1 more source

On the connectivity of proper power graphs of finite groups [PDF]

open access: yes, 2014
We study the connectivity of proper power graphs of some family of finite groups including nilpotent groups, groups with a non-trivial partition, and symmetric and alternating groups.Comment: 13 ...
Doostabadi, Alireza   +1 more
core  

Equivariant lattice generators and Markov bases

open access: yes, 2014
It has been shown recently that monomial maps in a large class respecting the action of the infinite symmetric group have, up to symmetry, finitely generated kernels.
Kahle, Thomas   +2 more
core   +1 more source

Multiquadratic fields generated by characters of $A_n$

open access: yes, 2019
For a finite group $G$, let $K(G)$ denote the field generated over $\mathbb{Q}$ by its character values. For $n>24$, G. R. Robinson and J. G. Thompson proved that $$K(A_n)=\mathbb{Q}\left (\{ \sqrt{p^*} \ : \ p\leq n \ {\text{ an odd prime with } p\neq n-
Dawsey, Madeline Locus   +2 more
core  

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