Results 11 to 20 of about 259 (146)
Some remarks on unipotent automorphisms [PDF]
International Journal of Group Theory, 2020 An automorphism $\alpha$ of the group $G$ is said to be $n$-unipotent if $[g,_n\alpha]=1$ for all $g\in G$. In this paper we obtain some results related to nilpotency of groups of $n$-unipotent automorphisms of solvable groups.
Orazio Puglisi, Gunnar Traustason
doaj +1 more source
ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
Ural Mathematical Journal, 2022 In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
doaj +1 more source
Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case
Discrete Analysis, 2021 Automorphisms of shift spaces and the Higman--Thompson groups: the one-sided case, Discrete Analysis 2021:15, 35 pp. Symbolic dynamics is the study of dynamical systems of the following kind, known as _shift spaces_.
Collin Bleak +2 more
doaj +1 more source
On the automorphism groups of relatively free groups of infinite rank: a survey
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
V.A. Roman’kov
doaj +1 more source
Generalized spin Sutherland systems revisited
Nuclear Physics B, 2015 We present generalizations of the spin Sutherland systems obtained earlier by Blom and Langmann and by Polychronakos in two different ways: from SU(n) Yang–Mills theory on the cylinder and by constraining geodesic motion on the N-fold direct product of ...
L. Fehér, B.G. Pusztai
doaj +1 more source
On the Root-class Residuality of HNN-extensions of Groups
Моделирование и анализ информационных систем, 2014 Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
doaj +1 more source
A note on fixed points of automorphisms of infinite groups [PDF]
International Journal of Group Theory, 2014 Motivated by a celebrated theorem of Schur, we show that if $Gamma$ is a normal subgroup of the full automorphism group $Aut(G)$ of a group $G$ such that $Inn(G)$ is contained in $Gamma$ and $Aut(G)/Gamma$ has no uncountable abelian subgroups of prime ...
Francesco de Giovanni +2 more
doaj
On automorphism groups of Toeplitz subshifts
Discrete Analysis, 2017 On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso +3 more
doaj +1 more source
Derivations and automorphisms of locally matrix algebras and groups
Доповiдi Нацiональної академiї наук УкраїниWe describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
doaj +1 more source
Fano threefolds with infinite automorphism groups [PDF]
Izvestiya: Mathematics, 2019 Abstract We classify smooth Fano threefolds with infinite automorphism groups.
Przyjalkowski, V. V. +2 more
openaire +3 more sources