Results 121 to 130 of about 5,394,965 (221)
Quantum automorphism groups of trees
, 2023 We give a characterisation 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.
de Bruyn, Josse van Dobben +4 more
core
A note on one-parameter groups of automorphisms
International Journal of Mathematics and Mathematical Sciences, 1990 Let {αt:t∈R} and {βt:t∈R} be two commuting one-parameter groups of ∗-automorphisms of a von Neumann algebra M such that αt+α−t=βt+β−t for all t∈R. The purpose of this note is to provide a simple and short proof of the central decomposition result: αt=βt ...
A. B. Thaheem, Noor Mohammad
doaj +1 more source
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,
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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
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ON AUTOMORPHISM GROUPS OF MATRICES
Prikladnaya diskretnaya matematika, 2010 Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
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Automorphism groups of metacyclic groups of class two [PDF]
, 2011 An automorphism of a group G is an isomorphism from G to G, which is one to one, onto and preserving operation. The automorphism of G forms a group under composition, and is denoted as Aut ?G?.
A. Mohamed, Abir Naser
core
Automorphism Groups of Unary Algebras on Groups
, 1969 This paper presents a systematic study of the automorphism groups of those unary (universal) algebras whose carrier set G is the carrier set of some group ) and whose automorphism set contains the right translations of the latter group.
G. H. Wenzel
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Bounded Automorphisms of Groups
Journal of Algebra, 1994 Let \(G\) be the fundamental group of a graph of groups (in the sense of Bass-Serre theory). Such a group has a natural length function and thus a corresponding notion of bounded subgroups and bounded automorphisms. The general result of this paper is that an automorphism of \(G\) is bounded if and only if it is induced by isomorphisms of vertex groups
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Mapping spaces and automorphism groups of toric noncommutative spaces. [PDF]
Lett Math Phys, 2017 Barnes GE, Schenkel A, Szabo RJ.
europepmc +1 more source
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. +4 more
core +1 more source