Results 21 to 30 of about 267 (42)

Enumeration of bigrassmannian permutations below a permutation in Bruhat order

open access: yes, 2010
In theory of Coxeter groups, bigrassmannian elements are well known as elements which have precisely one left descent and precisely one right descent.
A Björner   +5 more
core   +1 more source

Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group

open access: yes, 2012
Let $\H_n$ be the Iwahori-Hecke algebra of the symmetric group $S_n$, and let $Z(\H_n)$ denote its centre. Let $B={b_1,b_2,...,b_t}$ be a basis for $Z(\H_n)$ over $R=\Z[q,q^{-1}]$. Then $B$ is called \emph{multiplicative} if, for every $i$ and $j$, there
Francis, Andrew, Jones, Lenny
core   +1 more source

The partially alternating ternary sum in an associative dialgebra

open access: yes, 2010
The alternating ternary sum in an associative algebra, $abc - acb - bac + bca + cab - cba$, gives rise to the partially alternating ternary sum in an associative dialgebra with products $\dashv$ and $\vdash$ by making the argument $a$ the center of each ...
Bremner M   +21 more
core   +1 more source

On the Hadamard product of Hopf monoids

open access: yes, 2012
Combinatorial structures which compose and decompose give rise to Hopf monoids in Joyal's category of species. The Hadamard product of two Hopf monoids is another Hopf monoid. We prove two main results regarding freeness of Hadamard products.
Aguiar   +7 more
core   +2 more sources

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  

Algebraic properties of generalized Rijndael-like ciphers [PDF]

open access: yes, 2012
We provide conditions under which the set of Rijndael functions considered as permutations of the state space and based on operations of the finite field $\GF (p^k)$ ($p\geq 2$ a prime number) is not closed under functional composition.
B. Scott   +5 more
core  

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  

Palindromic permutations and generalized Smarandache palindromic permutations

open access: yes, 2006
The idea of left(right) palindromic permutations(LPPs,RPPs) and left(right) generalized Smarandache palindromic permutations(LGSPPs,RGSPPs) are introduced in symmetric groups S_n of degree n.
Jaiyeola, Temitope Gbolahan
core   +3 more sources

Persistent dyskinesias in patients with fetal tissue transplantation for Parkinson disease. [PDF]

open access: yesNPJ Parkinsons Dis, 2021
Greene PE   +5 more
europepmc   +1 more source

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