Results 111 to 120 of about 173,358,856 (223)

Automorphism Groups of Quandles

, 2011
This thesis arose from a desire to better understand the structures of automorphism groups and inner automorphism groups of quandles. We compute and give the structure of the automorphism groups of all dihedral quandles.
Macquarrie, Jennifer
core  

ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

Journal of Commutative Algebra
Assuming Gödel's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one such group $H$ such that the size of its center is bigger than $ 2^{|L |+\aleph_0}$.
Asgharzadeh, Mohsen, Golshani, Mohammad, Herden, Daniel, Shelah, Saharon   +3 more
openaire   +2 more sources

Quantum automorphism groups of trees

We give a characterization of quantum automorphism groups of trees. In particular, for every tree, we show how to iteratively construct its quantum automorphism group using free products and free wreath products.
Roberson, David E., Kar, Prem Nigam, van Dobben de Bruyn, Josse, Schmidt, Simon, Zeman, Peter   +4 more
core   +1 more source

Tree actions of automorphism groups

, 2000
We introduce conditions on a group action on a tree that are sufficient for the action to extend to the automorphism group. We apply this to two different classes of one-relator groups: certain Baumslag-Solitar groups and one-relator groups with centre ...
Raptis, E, Howie, J, Gilbert, ND, Metaftsis, V   +3 more
core   +1 more source

Computing automorphism groups and isomorphism testing in finite groups [PDF]

, 2012
We outline a new method for computing automorphism groups and performing isomorphism testing for soluble groups. We derive procedures for computing polycyclic presentations for soluble automorphism groups, allowing for much more efficient calculations ...
Howden, David J A
core  

Symmetry in complex networks

, 2008
We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J., Anderson, James W., MacArthur, Ben D.   +2 more
core   +1 more source

On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms

, 2013
We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel, Minasyan, Ashot   +1 more
core  

Automorphisms of the Nottingham Group

Journal of Algebra, 2000
Let \(K\) be a finite field of characteristic \(p\). The Nottingham group over \(K\) can be defined as the group \({\mathcal N}(K):=t+t^2K[[t]]\) of normalised power series under substitution. It is a finitely-generated pro-\(p\) group with some interesting properties [see the survey article in the book ``New horizons in pro-\(p\) groups'', Birkhäuser,
openaire   +2 more sources

On the order of automorphism groups of Klein surfaces

, 1985
A problem of special interest in the study of automorphism groups of surfaces are the bounds of the orders of the groups as a function of the genus of the surface. May has proved that a Klein surface with boundary of algebraic genus p has at most 12(p–1)
Etayo Gordejuela, José Javier, J. J. Etayo Gordejuela   +1 more
core   +1 more source

From mapping class groups to automorphism groups of free groups

, 2005
We show that the natural map from the mapping class groups of surfaces to the automorphism groups of free groups, induces an infinite loop map on the classifying spaces of the stable groups after plus construction.
Wahl, Nathalie
core   +1 more source