Results 11 to 20 of about 13,820 (216)
Outer automorphisms of free Burnside groups
Commentarii Mathematici Helvetici, 2013 In this paper, we study some properties of the outer automorphism group of free Burnside groups of large odd exponent.
Coulon, Rémi
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Kazhdan groups with infinite outer automorphism group [PDF]
Transactions of the American Mathematical Society, 2006 For each countable group $Q$ we produce a short exact sequence $1\to N \to G \to Q\to 1$ where $G$ is f.g. and has a graphical $\frac16$ presentation and $N$ is f.g. and satisfies property $T$. As a consequence we produce a group $N$ with property $T$ such that $\Out(N)$ is infinite.
Yann Ollivier, Daniel T. Wise
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Every group is the outer automorphism group of an HNN-extension of a fixed triangle group [PDF]
, 2019 Fix an equilateral triangle group $T_i=\langle a, b; a^i, b^i, (ab)^i\rangle$ with $i\geq6$ arbitrary. Our main result is: for every presentation $\mathcal{P}$ of every countable group $Q$ there exists an HNN-extension $T_{\mathcal{P}}$ of $T_i$ such ...
Alan D. Logan
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Outer automorphisms of certain $p$-groups [PDF]
Proceedings of the American Mathematical Society, 1966 Introduction. By employing methods of Group Representation Theory, the main theorems in this paper establish the existence of outer automorphisms of certain types of p-groups. There is no doubt that the results obtained in ?3 can also be obtained by familiar group theoretic techniques.
Charles F. Godino
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Outer automorphisms of classical algebraic groups [PDF]
Annales scientifiques de l'École normale supérieure, 2018 The so-called Tits class, associated to an adjoint absolutely almost simple algebraic group, provides a cohomological obstruction for this group to admit an outer automorphism. If the group has inner type, this obstruction is the only one. In this paper, we prove this is not the case for classical groups of outer type, except for groups of type $^2 ...
Anne Quéguiner-Mathieu +1 more
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On the outer automorphism groups of free groups [PDF]
Journal of Algebra, 2014 Preprint ...
Vladimir Tolstykh
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Irreducible outer automorphisms of a free group [PDF]
Proceedings of the American Mathematical Society, 1991 We give sufficient conditions for all positive powers of an outer automorphism of a finitely generated free group to be irreducible, in the sense of Bestvina and Handel. We prove a conjecture of Stallings (1982), that a PV automorphism in rank ≥ 3 \geq 3 has no nontrivial fixed points.
S. M. Gersten, John R. Stallings
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Outer automorphisms of hypercentral p-groups [PDF]
Glasgow Mathematical Journal, 1995 In his celebrated paper [3] Gaschiitz proved that any finite non-cyclic p-group always admits non-inner automorphisms of order a power of p. In particular this implies that, if G is a finite nilpotent group of order bigger than 2, then Out (G) = Aut(G)/Inn(G) =≠1.
Orazio Puglisi
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On the outer automorphism groups of finitely generated, residually finite groups [PDF]
, 2014 Bumagin-Wise posed the question of whether every countable group can be realised as the outer automorphism group of a finitely generated, residually finite group.
Alan D. Logan
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Finite groups of outer automorphisms of free groups [PDF]
Glasgow Mathematical Journal, 1996 Let Fr denote the free group of rank r and Out Fr: = AutFr/Inn Fr the outer automorphism group of Fr (automorphisms modulo inner automorphisms). In [10] we determined the maximal order 2rr! (for r > 2) for finite subgroups of Out Fr as well as the finite subgroup of that order which, for r > 3, is unique up to conjugation. In the present paper we
Bruno Zimmermann
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