Results 21 to 30 of about 11,763 (233)

Semilattices with a group of automorphisms [PDF]

open access: yes, 1997
We investigate semilattices expanded by a group F of automorphisms acting as new unary basic operations. We describe up to isomorphism all simple algebras of this kind in case that F is commutative.
Maróti, Miklós
core   +1 more source

Automorphisms of Automorphism Groups of Free Groups

open access: yesJournal of Algebra, 2000
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
openaire   +2 more sources

Algebraic reflexivity of isometry groups and automorphism groups of some operator structures [PDF]

open access: yes, 2013
We establish the algebraic re exivity of three isometry groups of operator structures: The group of all surjective isometries on the unitary group, the group of all surjective isometries on the set of all positive invertible operators equipped with ...
Botelho, Fernanda   +2 more
core   +1 more source

Groups with finitely many conjugacy classes and their automorphisms [PDF]

open access: yes, 2009
We combine classical methods of combinatorial group theory with the theory of small cancellation over relatively hyperbolic groups to construct finitely generated torsion-free groups that have only finitely many classes of conjugate elements.
Minasyan, Ashot
core   +1 more source

A unified model of the standard genetic code [PDF]

open access: yesRoyal Society Open Science, 2017
The Rodin–Ohno (RO) and the Delarue models divide the table of the genetic code into two classes of aminoacyl-tRNA synthetases (aaRSs I and II) with recognition from the minor or major groove sides of the tRNA acceptor stem, respectively.
Marco V. José   +2 more
doaj   +1 more source

Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]

open access: yes, 2002
It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
core   +2 more sources

Extremal Binary and Ternary Codes of Length 60 with an Automorphism of Order 29 and a Generalization

open access: yesMathematics, 2022
In this paper, all extremal Type I and Type III codes of length 60 with an automorphism of order 29 are classified up to equivalence. In both cases, it has been proven that there are three inequivalent codes.
Stefka Bouyuklieva   +2 more
doaj   +1 more source

Braiding groups of automorphisms and almost-automorphisms of trees

open access: yesCanadian Journal of Mathematics, 2023
AbstractWe introduce “braided” versions of self-similar groups and Röver–Nekrashevych groups, and study their finiteness properties. This generalizes work of Aroca and Cumplido, and the first author and Wu, who considered the case when the self-similar groups are what we call “self-identical.” In particular, we use a braided version of the Grigorchuk ...
Rachel Skipper, Matthew C. B. Zaremsky
openaire   +3 more sources

AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

open access: yes, 2011
Automorphism groups survey similarities on mathematical systems, which appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, · · · and theoretical physics, theoretical chemistry, etc..
MAO, LINFAN
core   +1 more source

Primitive ideals and automorphisms of quantum matrices. [PDF]

open access: yes, 2007
Let K be a field and q be a nonzero element of K that is not a root of unity. We give a criterion for (0) to be a primitive ideal of the algebra O-q(M-m,M-n) of quantum matrices.
Lenagan, T.H.   +3 more
core   +1 more source

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