Results 11 to 20 of about 256 (26)

Resolution of simple singularities yielding particle symmetries in a space-time

, 1994
A finite subgroup of the conformal group SL(2,C) can be related to invariant polynomials on a hypersurface in C^3. The latter then carries a simple singularity, which resolves by a finite iteration of basic cycles of deprojections.
Durfee A., Martin Rainer
core   +1 more source

Abelian supplements in almost simple groups

Forum of Mathematics, Sigma
Let G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ .
Mauro Costantini, Andrea Lucchini, Daniele Nemmi   +2 more
doaj   +1 more source

Bicrossed products for finite groups

, 2009
We investigate one question regarding bicrossed products of finite groups which we believe has the potential of being approachable for other classes of algebraic objects (algebras, Hopf algebras). The problem is to classify the groups that can be written
A. Chirvăsitu, A. L. Agore, B. Ion, C Kassel, E Maillet, G. Militaru, H Wielandt, J Douglas, J López Peña, J Rotman, J Szép, J Wiegold, M Giudici, M Takeuchi, O Ore, S Caenepeel   +15 more
core   +2 more sources

Strong reality of finite simple groups

, 2010
The classification of finite simple strongly real groups is complete. It is easy to see that strong reality for every nonabelian finite simple group is equivalent to the fact that each element can be written as a product of two involutions.
Gal't, A. A., Vdovin, E. P.
core   +1 more source

Picky elements, subnormalisers, and character correspondences

Forum of Mathematics, Sigma
We gather evidence on a new local-global conjecture of Moretó and Rizo on values of irreducible characters of finite groups. For this we study subnormalisers and picky elements in finite groups of Lie type and determine them in many cases, for unipotent ...
Gunter Malle
doaj   +1 more source

(2,3)-generation of the groups PSL6(q) [PDF]

, 2011
2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q)
Tabakov, K., Tchakerian, K.
core  

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

Beauville surfaces and finite simple groups

, 2010
A Beauville surface is a rigid complex surface of the form (C1 x C2)/G, where C1 and C2 are non-singular, projective, higher genus curves, and G is a finite group acting freely on the product.
Alexander Lubotzky, Alexander Lubotzky, Michael Larsen, Michael Larsen, Shelly Garion, Shelly Garion   +5 more
core   +2 more sources

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