Results 71 to 80 of about 104,157 (229)

On the Automorphism Group of a Lie Group [PDF]

Proceedings of the American Mathematical Society, 1974
It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
openaire   +2 more sources

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, EarlyView.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +1 more source

Automorphism Groups of Geometrically Represented Graphs [PDF]

, 2015
We describe a technique to determine the automorphism group of a geometrically represented graph, by understanding the structure of the induced action on all geometric representations.
Klavík, Pavel, Zeman, Peter
core  

Double automorphisms of graded Lie algebras

, 2012
We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear that the set of all double automorphisms of L forms a subgroup in Aut(L).
Acciarri, Cristina, Shumyatsky, Pavel
core   +1 more source

Automorphisms of the generalized cluster complex

The American Journal of Combinatorics
We exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj   +1 more source

The coprime graph of a group [PDF]

International Journal of Group Theory, 2014
The coprime graph $gg$ with a finite group $G$ as follows: Take $G$ as the vertices of $gg$ and join two distinct vertices $u$ and $v$ if $(|u|,|v|)=1$.
Xuan Long Ma , Hua Quan Wei, Li Ying Yang   +2 more
doaj  

On the universal pairing for 2‐complexes

Bulletin of the London Mathematical Society, EarlyView.
Abstract The universal pairing for manifolds was defined and shown to lack positivity in dimension 4 in [Freedman, Kitaev, Nayak, Slingerland, Walker, and Wang, J. Geom. Topol. 9 (2005), 2303–2317]. We prove an analogous result for 2‐complexes, and show that the universal pairing does not detect the difference between simple homotopy equivalence and 3 ...
Mikhail Khovanov, Vyacheslav Krushkal, John Nicholson   +2 more
wiley   +1 more source

The dihedral group as a group of automorphisms

Journal of Algebra, 2013
AbstractSuppose that D=〈α,β〉 is a dihedral group generated by two involutions α and β. Let D act on a finite group G in such a manner that CG(αβ)=1. We show that if CG(α) and CG(β) are both nilpotent of class c, then G is nilpotent and the class of G is bounded solely in terms of c.
openaire   +2 more sources

The Generic Circular Triangle‐Free Graph

Journal of Graph Theory, Volume 109, Issue 4, Page 426-445, August 2025.
ABSTRACT In this article, we introduce the generic circular triangle‐free graph C 3 and propose a finite axiomatization of its first‐order theory. In particular, our main results show that a countable graph G embeds into C 3 if and only if it is a { K 3 , K 1 + 2 K 2 , K 1 + C 5 , C 6 }‐free graph.
Manuel Bodirsky, Santiago Guzmán‐Pro
wiley   +1 more source

On a Dimension Formula for Twisted Spherical Conjugacy Classes in Semisimple Algebraic Groups [PDF]

, 2010
Let $G$ be a connected semisimple algebraic group over an algebraically closed field of characteristic zero, and let $\th$ be an automorphism of $G$. We give a characterization of $\th$-twisted spherical conjugacy classes in $G$ by a formula for their ...
Lu, Jiang-Hua
core