Results 21 to 30 of about 307 (63)

Commutator maps, measure preservation, and T-systems

, 2007
Let G be a finite simple group. We show that the commutator map $a : G \times G \to G$ is almost equidistributed as the order of G goes to infinity. This somewhat surprising result has many applications.
Garion, Shelly, Shalev, Aner
core   +1 more source

On Alternating and Symmetric Groups Which Are Quasi OD-Characterizable

, 2017
Let $\Gamma(G)$ be the prime graph associated with a finite group $G$ and $D(G)$ be the degree pattern of $G$. A finite group $G$ is said to be $k$-fold OD-characterizable if there exist exactly $k$ non-isomorphic groups $H$ such that $|H|=|G|$ and $D(H)=
Moghaddamfar, Ali Reza
core   +1 more source

Moments, Exponential Sums, and Monodromy Groups

Forum of Mathematics, Sigma
We determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
doaj   +1 more source

Alternating quiver Hecke algebras [PDF]

, 2015
For simply-laced quivers, we consider the fixed-point subalgebra of the quiver Hecke algebra under the homogeneous sign map. This leads to a new family of algebras we call alternating quiver Hecke algebras.
Boys, Clinton
core   +1 more source

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

, 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, Ghouchan, Mohammad Farrokhi Derakhshandeh   +1 more
core  

Enumerating Regular Objects associated with Suzuki Groups [PDF]

, 2013
We use the M\"obius function of the simple Suzuki group Sz(q) to enumerate regular objects such as maps, hypermaps, dessins d'enfants and surface coverings with automorphism groups isomorphic to Sz(q).Comment: 20 ...
Downs, Martin, Jones, Gareth A.
core  

Some Quantitative Characterizations of Certain Symplectic Groups [PDF]

, 2013
Given a finite group $G$, denote by ${\rm D}(G)$ the degree pattern of $G$ and by ${\rm OC}(G)$ the set of all order components of $G$. Denote by $h_{{\rm OD}}(G)$ (resp.
Akbari, M., Moghaddamfar, A. R.
core  

On some subgroups of linear groups over $\mathbb{F}_2$ generated by elements of order $3$ [PDF]

, 2017
Let $V$ be a vector space over the field of order $2$. We investigate subgroups of the linear group $GL(V)$ which are generated by a conjugacy class $D$ of elements of order $3$ such that all $d$ in $D$ have $2$-dimensional commutator space $[V,d]$
Cuypers, Hans
core   +1 more source

A characterization of some alternating groups A p+8 of degree p + 8 by OD. [PDF]

Springerplus, 2016
Liu S, Zhang Z.
europepmc   +1 more source

Schreier type theorems for bicrossed products

Open Mathematics, 2012
Agore Ana, Militaru Gigel
doaj   +1 more source