Results 71 to 80 of about 83,911 (252)
Automorphism groups of some affine and finite type Artin groups
We observe that, for each positive integer n > 2, each of the Artin groups of finite type A_n, B_n=C_n, and affine type \tilde A_{n-1} and \tilde C_{n-1} is a central extension of a finite index subgroup of the mapping class group of the (n+2)-punctured ...
Charney, Ruth, Crisp, John
core +2 more sources
C.T.C. Wall's 1964 articles on 4‐manifolds
Abstract I survey C. T. C. Wall's influential papers, ‘Diffeomorphisms of 4‐manifolds’ and ‘On simply‐connected 4‐manifolds’, published in 1964 on pp. 131–149 of volume 39 of the Journal of the London Mathematical Society.
Mark Powell
wiley +1 more source
Prime Fano threefolds of genus 12 with a $G_m$-action [PDF]
We give an explicit construction of prime Fano threefolds of genus 12 with a $G_m$-action, describe their isomorphism classes and automorphism groups.
Alexander Kuznetsov, Yuri Prokhorov
doaj +1 more source
Combination theorems for Wise's power alternative
Abstract We show that Wise's power alternative is stable under certain group constructions, use this to prove the power alternative for new classes of groups and recover known results from a unified perspective. For groups acting on trees, we introduce a dynamical condition that allows us to deduce the power alternative for the group from the power ...
Mark Hagen +2 more
wiley +1 more source
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj +1 more source
Siegel–Veech constants for cyclic covers of generic translation surfaces
Abstract We compute the asymptotic number of cylinders, weighted by their area to any nonnegative power, on any cyclic branched cover of any generic translation surface in any stratum. Our formulae depend only on topological invariants of the cover and number‐theoretic properties of the degree: in particular, the ratio of the related Siegel–Veech ...
David Aulicino +4 more
wiley +1 more source
Random planar trees and the Jacobian conjecture
Abstract We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping F:Cn→Cn$F\colon \mathbb {C}^n \rightarrow \mathbb {C}^n$ whose Jacobian determinant is a non‐zero constant) has a compositional inverse which is also a polynomial. The Jacobian conjecture may be formulated in
Elia Bisi +5 more
wiley +1 more source
Automorphism Groups of Free Soluble Groups
Let \(F\) be a free soluble group of derived length \(k\) and rank \(m\) and \(\Phi\) any group of automorphisms of \(F\). The author's Theorem A is that \(\Phi\) contains either a free subgroup of rank 2 or a soluble normal subgroup of finite index and derived length bounded by functions of \(k\) and \(m\) only.
openaire +2 more sources
CHARACTERIZING AUTOMORPHISM GROUPS OF ORDERED ABELIAN GROUPS
We characterize the groups isomorphic to full automorphism groups of ordered abelian groups. The result will follow from classical theorems on ordered groups adding an argument from proofs used to realize rings as endomorphism rings of abelian groups.
Göbel, Rüdiger, Shelah, Saharon
openaire +3 more sources
The modular automorphisms of quotient modular curves
Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
wiley +1 more source

