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Inverse semigroups determined by their partial automorphism monoids
Inverse semigroups partial automorphism monoids Rings and Algebras
2011/9/20
Abstract: The partial automorphism monoid of an inverse semigroup is an inverse monoid consisting of all isomorphisms between its inverse subsemigroups. We prove that a tightly connected fundamental i...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
On the automorphism group of tube type real symmetric domains
Jordan algebra Jordan triple system bounded symmetric domain partial Cayley transform
2011/1/18
The aim of this note is to explain a generalization to the real case of a well known result on the automorphism group of an unbounded tube type symmetric domain in a complex vector space of finite dim...
Explicit computation of the index of a positive outer automorphism of the free group
Explicit computation index of positive outer automorphism
2011/2/21
We give an algorithm for finding the index of a positive outer au-tomorphism of the free group, and prove the algorithm exits in a finite time.
The automorphism group of the group of unitriangular matrices over a field
automorphism group group of unitriangular matrices
2011/2/28
This paper finds the generators of the automorphism group of the group of unitriangular matrices over a field. Most of this paper is an exposition of the work of V.M. Lev˘chuk, part of which is i...
Automorphism group and ad-invariant metric on all six dimensional solvable real Lie algebras
Automorphism group ad-invariant metric all six dimensional solvable real Lie algebras
2010/11/30
Using adjoint representation of Lie algebras, we calculate the automorphism group and ad-invariant metric on six dimensional solvable real Lie algebras with 5, 4 and 3 dimensional nilradicals.
A note on the automorphism group of the root lattice of the U-dual modular group
topological M-theory the U-dual automorphic form Weyl group of the Udual
2010/12/15
We study the inclusion system of the quantum deformed 2 dimensional Yang-Mills root module to the graded root module of the U-dual modular group. The irreducible representation of the U-dual modular g...
Linear Automorphism Groups of Relatively Free Groups
Linear Automorphism Groups Relatively Free Groups
2010/2/26
Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group...
Linear Automorphism Groups of Relatively Free Groups
Linear Automorphism Groups Relatively Free Groups
2010/2/26
Let G be a free group in a variety of groups, but G is not absolutely free. We prove that the group of automorphisms Aut(G) is linear if and only if G is a finitely generated virtually nilpotent group...