Results 61 to 70 of about 83,964 (235)
Outer automorphisms of classical algebraic groups
Annales scientifiques de l'École normale supérieure, 2018 The so-called Tits class, associated to an adjoint absolutely almost simple algebraic group, provides a cohomological obstruction for this group to admit an outer automorphism. If the group has inner type, this obstruction is the only one. In this paper, we prove this is not the case for classical groups of outer type, except for groups of type $^2 ...
Quéguiner-Mathieu, Anne +1 more
openaire +3 more sources
On the section conjecture over fields of finite type
Mathematische Nachrichten, EarlyView.Abstract Assume that the section conjecture holds over number fields. We prove then that it holds for a broad class of curves defined over finitely generated extensions of Q$\mathbb {Q}$. This class contains every projective, hyperelliptic curve, every hyperbolic, affine curve of genus ≤2$\le 2$, and a basis of open subsets of any curve.
Giulio Bresciani
wiley +1 more source
Flux Landscape with enhanced symmetry not on SL(2, ℤ) elliptic points
Journal of High Energy PhysicsWe study structures of solutions for SUSY Minkowski F-term equations on two toroidal orientifolds with h 2,1 = 1. Following our previous study [1], with fixed upper bounds of a flux D3-brane charge N flux, we obtain a whole Landscape and a distribution ...
Keiya Ishiguro +3 more
doaj +1 more source
On the outer automorphism groups of free groups
Journal of Algebra, 2014 Preprint ...
openaire +4 more sources
Units in group rings and blocks of Klein four or dihedral defect
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain restrictions on units of even order in the integral group ring ZG$\mathbb {Z}G$ of a finite group G$G$ by studying their actions on the reductions modulo 4 of lattices over the 2‐adic group ring Z2G$\mathbb {Z}_2G$. This improves the “lattice method” which considers reductions modulo primes p$p$, but is of limited use for p=2$p=2 ...
Florian Eisele, Leo Margolis
wiley +1 more source
Countable groups are mapping class groups of hyperbolic 3-manifolds
, 2005 We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isometry group of M, the mapping class group of M, and the outer automorphism group of the fundamental group of M are isomorphic to G.Comment: 15 pages, 6 ...
Frigerio, Roberto, Martelli, Bruno
core +2 more sources
On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, EarlyView.Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source
Investigating 9d/8d non-supersymmetric branes and theories from supersymmetric heterotic strings
Journal of High Energy PhysicsWe consider heterotic string theories in nine and eight dimensions. We identify the disconnected part of the spacetime gauge group by studying the outer automorphism of the charge lattices.
Yuta Hamada, Arata Ishige
doaj +1 more source
Homology stability for outer automorphism groups of free groups [PDF]
Algebraic & Geometric Topology, 2004 Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-54.abs ...
Hatcher, Allen, Vogtmann, Karen
openaire +5 more sources
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