Results 11 to 20 of about 66,912 (209)

Conjugacy classes of affine automorphisms of K^n and linear automorphisms of P^n in the Cremona groups [PDF]

, 2006
We describe the conjugacy classes of affine automorphisms in the group $Aut(n,\K)$ (respectively $Bir(\K^n)$) of automorphisms (respectively of birational maps) of $\K^n$.
Blanc, Jérémy
core   +4 more sources

Automorphisms of Automorphism Groups of Free Groups

Journal 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

Generalized Unitaries and the Picard Group [PDF]

, 2005
After discussing some basic facts about generalized module maps, we use the representation theory of the algebra of adjointable operators on a Hilbert B-module E to show that the quotient of the group of generalized unitaries on E and its normal subgroup
Skeide, M.
core   +3 more sources

The group of causal automorphisms [PDF]

, 2010
The group of causal automorphisms on Minkowski space-time is given and its structure is ...
Do-Hyung Kim, Kim D-H, Kim D-H
core   +1 more source

Automorphisms and Inner Automorphisms

Journal of Mathematics, 2016
Let K be a field of characteristic not 2 and let A=A0+A1 be central simple superalgebra over K, and let ⁎ be superinvolution on A. Our main purpose is to classify the group of automorphisms and inner automorphisms of (A,⁎) (i.e., commuting with ⁎) by ...
Ameer Jaber, Moh’D Yasein
doaj   +1 more source

Automorphisms of Some Magmas of Order $k+k^2$

Известия Иркутского государственного университета: Серия "Математика", 2018
This paper is devoted to the study of automorphisms of finite magmas and to the representation of the symmetric permutation group $ S_k $ and some of its subgroups by automorphism groups of finite magmas.
A.V. Litavrin
doaj   +1 more source

An inner automorphism is only an inner automorphism, but an inner endomorphism can be something strange [PDF]

, 2011
The inner automorphisms of a group G can be characterized within the category of groups without reference to group elements: they are precisely those automorphisms of G that can be extended, in a functorial manner, to all groups H given with ...
Bergman, George M.
core   +4 more sources

AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]

Journal of the Australian Mathematical Society, 2008
Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
openaire   +3 more sources

The automorphisms and error orbits of Reed – Solomon codes

Доклады Белорусского государственного университета информатики и радиоэлектроники, 2020
The purpose of this work with its results presented in the article was to develop and transfer to the class of Reed – Solomon codes (RS-codes) the basic provisions of the theory of syndrome norms (TNS), previously developed for the noise-resistant coding
S. I. Semyonov, V. A. Lipnitsky
doaj   +1 more source

Normal Supercharacter Theory [PDF]

Discrete Mathematics & Theoretical Computer Science, 2020
There are three main constructions of supercharacter theories for a group G. The first, defined by Diaconis and Isaacs, comes from the action of a group A via automorphisms on our given group G.
Farid Aliniaeifard
doaj   +1 more source