Results 61 to 70 of about 13,820 (216)
The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
The automorphism group of accessible groups
, 2010 In this article, we study the outer automorphism group of a group G decomposed as a finite graph of group with finite edge groups and finitely generated vertex groups with at most one end.
Carette, Mathieu
core +1 more source
The conjugacy problem for ascending HNN‐extensions of free groups
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract We give an algorithm to solve the Conjugacy Problem for ascending HNN‐extensions of free groups. To do this, we give algorithms to solve certain problems on dynamics of free group endomorphisms.
Alan D. Logan
wiley +1 more source
The visual boundary of hyperbolic free-by-cyclic groups
, 2018 Let $\phi$ be an atoroidal outer automorphism of the free group $F_n$. We study the Gromov boundary of the hyperbolic group $G_{\phi} = F_n \rtimes_{\phi} \mathbb{Z}$. We explicitly describe a family of embeddings of the complete bipartite graph $K_{3,3}$
Algom-Kfir, Yael +2 more
core +2 more sources
Outer automorphism groups of Bieberbach groups
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1996 For the fundamental group \(\Gamma\) of a flat manifold \(M\) (=a Bieberbach group), the paper gives necessary and sufficient conditions on \(\text{Out}(\Gamma)\) to be infinite. It also compares that result with a previous one due to \textit{H. L. Porteous} [Topology 11, 307-315 (1972; Zbl 0237.58015)], and gives several applications and examples of ...
openaire +3 more sources
Functorial constructions related to double Poisson vertex algebras
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract For any double Poisson algebra, we produce a double Poisson vertex algebra using the jet algebra construction. We show that this construction is compatible with the representation functor which associates to any double Poisson (vertex) algebra and any positive integer a Poisson (vertex) algebra.
Tristan Bozec +2 more
wiley +1 more source
Virtually splitting the map from Aut(G) to Out(G)
, 2013 We give an elementary criterion on a group G for the map from Aut(G) to Out(G) to split virtually. This criterion applies to many residually finite CAT(0) groups and hyperbolic groups, and in particular to all finitely generated Coxeter groups.
Carette, Mathieu
core +1 more source
The diagonal p$p$‐permutation functor kRk$kR_k$
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let k$k$ be an algebraically closed field of positive characteristic p$p$. We describe the full lattice of subfunctors of the diagonal p$p$‐permutation functor kRk$kR_k$ obtained by k$k$‐linear extension from the functor Rk$R_k$ of linear representations over k$k$. This leads to the description of the “composition factors” SP$S_P$ of kRk$kR_k$,
Serge Bouc
wiley +1 more source
Automorphisms of two-dimensional right-angled Artin groups
, 2007 We study the outer automorphism group of a right-angled Artin group A_G in the case where the defining graph G is connected and triangle-free. We give an algebraic description of Out(A_G) in terms of maximal join subgraphs in G and prove that the Tits ...
Behrstock +11 more
core +2 more sources
Outer unipotent classes in automorphism groups of simple algebraic groups [PDF]
Proceedings of the London Mathematical Society, 2014 Let \(G\) be a simple algebraic group over an algebraically closed field \(K\) of characteristic \(p\). Assume the pair \((G,p)\) is taken from the following list \((A_\ell,2)\), \((D_\ell,2)\), \((E_6,2)\), \((D_4,3)\). In the last case assume that \(G\) is simply connected or adjoint.
Lawther, R, Liebeck, MW, Seitz, GM
openaire +3 more sources