Results 61 to 70 of about 14,423,502 (287)

The automorphism group for p-central p-groups [PDF]

International Journal of Group Theory, 2012
A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides the ...
Anitha Thillaisundaram
doaj  

Possible Groups of Automorphisms [PDF]

Proceedings of the National Academy of Sciences, 1943
Not ...
openaire   +2 more sources

On the Automorphism Group of a Lie Group [PDF]

Proceedings of the American Mathematical Society, 1974
It is proved that the automorphism group of a connected real or complex Lie group contains an open real or complex algebraic subgroup. It follows that the identity component of the group of complex automorphisms of a connected complex Lie group is a complex algebraic group.
openaire   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

New Two-Stage Automorphism Group Decoders for Cyclic Codes

IEEE Access, 2020
Recently, error correcting codes in the erasure channel have drawn great attention for various applications such as distributed storage systems and wireless sensor networks, but many of their decoding algorithms are not practical because they have higher
Chanki Kim, Jong-Seon No
doaj   +1 more source

The cobordism group of homology cylinders [PDF]

, 2010
Garoufalidis and Levine introduced the homology cobordism group of homology cylinders over a surface. This group can be regarded as an enlargement of the mapping class group.
Friedl, Stefan, Taehee Kim, Jae Choon Cha, Kim, Taehee, Stefan Friedl, Cha, Jae Choon   +5 more
core   +1 more source

An obstruction to the strong relative hyperbolicity of a group

, 2006
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona, Aramayona, Javier, James W. Anderson, Anderson, James W., Kenneth J. Shackleton, Shackleton, Kenneth J.   +5 more
core   +1 more source

Automorphisms of groups

Journal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
openaire   +2 more sources

The automorphism group of accessible groups [PDF]

Journal of the London Mathematical Society, 2011
18 pages, 3 figures.
openaire   +4 more sources

The Tits alternative for the automorphism group of a free product [PDF]

Inventiones Mathematicae, 2014
Let G=G1∗…∗Gk∗F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G=G_{1 ...
Camille Horbez
semanticscholar   +1 more source