Results 121 to 130 of about 174,454,425 (228)

ON AUTOMORPHISM GROUPS OF MATRICES

open access: yesPrikladnaya 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.
openaire   +2 more sources

Automorphism groups of some non-nilpotent Leibniz algebras

open access: yesResearches in Mathematics
Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[a,[b,c]]=[[a,b],c]+[b,[a,c]]$ for all $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko   +2 more
doaj   +1 more source

Automorphisms of graph groups

open access: yesJournal of Algebra, 1989
Given a graph \(\Gamma=(V,E)\), the graph group \(F\langle\Gamma\rangle\) is the group with presentation \(\langle V\mid [E]\rangle\), where \([E]\) denotes the set of commutators \(\{[a,b]\mid\{a,b\}\in E\}\). The graph group \(F\langle\Gamma\rangle\) is modeled to be a group analog of the graph algebra K(\(\Gamma)\) generated as a free associative ...
openaire   +2 more sources

Weakly power automorphisms of groups

open access: yes, 2017
An automorphism α of a group G is called a weakly power automorphism if it maps every non-periodic subgroup of G onto itself. The aim of this paper is to investigate the behavior of weakly power automorphisms.
MUSELLA, CARMELA   +7 more
core   +1 more source

Periodic points of solenoidal automorphisms

open access: yes, 2017
We give a characterization of the sets of periodic points of toral automorphisms. Then we describe the one-dimensional solenoids as the quotients of the (additive) group of adeles and characterize the sets of periodic points of automorphisms on these ...
Gopal, Sharan, Raja, C. R.E.
core   +1 more source

Fault-Tolerant Logical Clifford Gates from Code Automorphisms

open access: yesPRX Quantum
We study the implementation of fault-tolerant logical Clifford gates on stabilizer quantum error-correcting codes based on their symmetries. Our approach is to map the stabilizer code to a binary linear code, compute its automorphism group, and impose ...
Hasan Sayginel   +4 more
doaj   +1 more source

Self-Similar Automorphisms of a Free Group of Countable Rank

open access: yes, 2015
We investigate self-similar automorphisms of a free group $F$ of infinite countable rank, that is automorphisms for which their actions on $F$ and $F^{\prime}$ are similar.
Tomaszewski, Witold
core  

On the group of autoprojectivities of periodic modular groups

open access: yes, 1998
We determine the group of all lattice automorphisms of a periodic modular ...
ZACHER, GIOVANNI, COSTANTINI, MAURO
core  

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