Results 141 to 150 of about 5,884 (248)

Fault-Tolerant Logical Clifford Gates from Code Automorphisms

PRX 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, Stergios Koutsioumpas, Mark Webster, Abhishek Rajput, Dan E. Browne   +4 more
doaj   +1 more source

Automorphism groups of some non-nilpotent Leibniz algebras

Researches 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, P.Ye. Minaiev, O.O. Pypka   +2 more
doaj   +1 more source

Automorphisms of graph groups

Journal 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

Automorphisms of the Nottingham Group

, 2000
Let K be a finite field of characteristic p≥5. The Nottingham group N over K is the group of normalised automorphisms of the local field K((t)). In this paper we determine the automorphism group of N; in particular we show that every automorphism of the ...
Klopsch, Benjamin
core   +1 more source

Fixed points under pinning-preserving automorphisms of reductive group schemes

, 2023
In this paper we determine the scheme-theoretic fixed points of pinned reductive group schemes acted upon by a group of pinning-preserving automorphisms.
Richarz, Timo, Achar, Pramod, N., Riche, Simon, Lourenço, João   +3 more
core  

The group of inertial automorphisms of an abelian group (0)

, 2014
We study the group $IAut(A)$ generated by inertial automorphisms of an abelian group $A$, that is automorphisms $\g$ with the property $|\la X,X\g\ra/X|
Silvana Rinauro, DARDANO, ULDERICO
core  

Spin(8, ℂ)-Higgs bundles fixed points through spectral data

Open Mathematics
Let XX be a compact Riemann surface of genus g≥2g\ge 2. The geometry of the moduli space ℳ(Spin(8,C)){\mathcal{ {\mathcal M} }}\left({\rm{Spin}}\left(8,{\mathbb{C}})) of Spin(8,C){\rm{Spin}}\left(8,{\mathbb{C}})-Higgs bundles over XX is of great interest
Antón-Sancho Álvaro
doaj   +1 more source

On groups of automorphisms.

crll, 1940
openaire   +2 more sources

X-INNER AUTOMORPHISMS OF GROUP RINGS

, 2014
. X-inner automorphisms are important to the studies of group actions on rings and of crossed products. In this note, we determine the X-inner automorphisms of certain classes of group rings.
D. S. Passman, Susan Montgomery
core  

Automorphisms of relatively hyperbolic groups and the Farrell-Jones conjecture. [PDF]

Math Ann
Andrew N, Guerch Y, Hughes S.
europepmc   +1 more source