Results 21 to 30 of about 13,820 (216)
Parageometric outer automorphisms of free groups [PDF]
Transactions of the American Mathematical Society, 2007 We study those fully irreducible outer automorphisms ϕ \phi of a finite rank free group F r F_r which are parageometric, meaning that the attracting fixed point of ϕ \phi in the boundary of outer space is a geometric R \mathbf {R} -tree with respect to ...
Michael Handel, Lee Mosher
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OUTER AUTOMORPHISM GROUPS OF CERTAIN TREE PRODUCTS OF ABELIAN GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractWe prove that certain tree products of finitely generated Abelian groups have Property E. Using this fact, we show that the outer automorphism groups of those tree products of Abelian groups and Brauner’s groups are residually finite.
Y. D. Chai +3 more
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Representation stability and outer automorphism groups
Documenta Mathematica, 2022 In this paper we study families of representations of the outer automorphism groups indexed on a collection of finite groups \mathcal{U} . We encode this large amount of data into a convenient abelian category which generalizes the category of VI ...
Pol, Luca, Strickland, Neil Patrick
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Outer automorphism groups of ordered permutation groups [PDF]
Forum Mathematicum, 2002 An infinite linearly ordered set (S,<=) is called doubly homogeneous if its automorphism group A(S) acts 2-transitively on it. We show that any group G arises as outer automorphism group G cong Out(A(S)) of the automorphism group A(S), for some doubly homogeneous chain (S,<=).
Droste, Manfred, Shelah, Saharon
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AUTOMORPHISM AND OUTER AUTOMORPHISM GROUPS OF RIGHT-ANGLED ARTIN GROUPS ARE NOT RELATIVELY HYPERBOLIC [PDF]
Bulletin of the Australian Mathematical Society, 2022 AbstractWe show that the automorphism groups of right-angled Artin groups whose defining graphs have at least three vertices are not relatively hyperbolic. We then show that the outer automorphism groups are also not relatively hyperbolic, except for a few exceptional cases.
JUNSEOK KIM +2 more
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$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
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The Outer Automorphism Groups of Two-Generator One-Relator Groups with Torsion [PDF]
, 2015 The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion. To this classification we apply recent algorithmic results of Dahmani--Guirardel, which yields an algorithm to ...
Logan, Alan D.
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Lone Axes in Outer Space [PDF]
, 2015 Handel and Mosher define the axis bundle for a fully irreducible outer automorphism in "Axes in Outer Space." In this paper we give a necessary and sufficient condition for the axis bundle to consist of a unique periodic fold line.
Mosher, Lee, Pfaff, Catherine
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Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]
, 2005 We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel +40 more
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Growth and order of automorphisms of free groups and free Burnside groups [PDF]
, 2013 We prove that an outer automorphism of the free group is exponentially growing if and only if it induces an outer automorphism of infinite order of free Burnside groups with sufficiently large odd exponent.Comment: 36 pages, 4 ...
Coulon, Rémi, Hilion, Arnaud
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