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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...
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 ...
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...
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.
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...
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.
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       font style='font-size:12px;'> 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       font style='font-size:12px;'> 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...

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