Results 271 to 280 of about 15,532,780 (319)

On proulx's four exceptional toroidal groups

Journal of Graph Theory, 1984
AbstractV. K. Proulx has proved that every finite group having a Cayley graph embeddable in the torus is, with four unresolved exceptions, a quotient of a Euclidean space group. It was conjectured that these four unresolved groups are not exceptional, that they in fact are Euclidean space‐group quotients.
openaire   +1 more source

SPRINGER CORRESPONDENCE FOR DISCONNECTED EXCEPTIONAL GROUPS

Bulletin of the London Mathematical Society, 2005
One considers two cases. Either \(G\) is a simple algebraic group of type \(D_4\) in characteristic \(p=3\) or it is a simple algebraic group of type \(E_6\) in characteristic \(p=2\). Let \(\sigma\) be a graph automorphism of \(G\) of order \(p\). In either case one forms the semi-direct product \(\widetilde G=G\rtimes\langle\sigma\rangle\) of \(G ...
openaire   +1 more source

The Exceptional Holonomy Groups

2007
Abstract We now discuss the exceptional holonomy groups G  2 in 7 dimensions, and Spin(7) in 8 dimensions. Metrics with these holonomy groups are Ricci-flat, and on compact manifolds come in smooth moduli spaces of known dimension. Sections 11.1–11.3 define G  2, study the topology of compact Riemannian 7-manifolds ( M, g) with holonomy ...
openaire   +1 more source

Flag-Transitive Block Designs and Finite Simple Exceptional Groups of Lie Type

Graphs and Combinatorics, 2020
S. H. Alavi
semanticscholar   +1 more source

Exceptional group ring automorphisms for some metabelian groups, ii

Communications in Algebra, 1997
Let H be a generalized dihedral, semi-dihedral, quaternion, or modular group, and let A = (u, v, w) be a product of three odd order cyclic groups, with (|v|,|w|) = 1. For R a semi-local Dedekind domain of characteristic 0 in which no prime divisor of |H|.|A| is invertible, we prove that there is a semi-direct product G = H × A such that the group ring ...
openaire   +1 more source

Subgroups of Exceptional Groups

1998
In this article we present some recent results concerning the subgroups of the simple algebraic groups of exceptional type, and of the corresponding finite groups of Lie type. There are six sections. The first contains some general observations, while in the second we focus on connected subgroups.
openaire   +1 more source

Automorphism group of exceptional symmetric domains RVI

Science in China Series A: Mathematics, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

Spectra of Automorphic Extensions of Finite Simple Exceptional Groups of Lie Type

, 2016
M. A. Zvezdina
semanticscholar   +1 more source

Exceptional Groups

2000
Tonny A. Springer, Ferdinand D. Veldkamp
openaire   +1 more source

Molecular Features of Cancers Exhibiting Exceptional Responses to Treatment

Cancer Cell, 2021
David A Wheeler, Naoko Takebe, Toshinori Hinoue   +2 more
exaly