The automorphism group of HNN extensions with finite base group
The Dehn functions of and
For at least 3, the Dehn functions of and are exponential. Hatcher and Vogtmann proved that they are at most exponential, and the complementary lower bound in the case was established by Bridson and Vogtmann. Handel and Mosher completed the proof by reducing the lower bound for bigger than 3 to the case . In this note we give a shorter, more direct proof of this last reduction.
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The Fibonacci automorphism of free Burnside groups
We prove that the Fibonacci morphism is an automorphism of infinite order of free Burnside groups for all odd and even .
The Johnson homomorphism and the second cohomology of .
The rhombic dodecahedron and semisimple actions of Aut(Fₙ) on CAT(0) spaces
We consider actions of automorphism groups of free groups by semisimple isometries on complete CAT(0) spaces. If n ≥ 4 then each of the Nielsen generators of Aut(Fₙ) has a fixed point. If n = 3 then either each of the Nielsen generators has a fixed point, or else they are hyperbolic and each Nielsen-generated ℤ⁴ ⊂ Aut(F₃) leaves invariant an isometrically embedded copy of Euclidean 3-space 𝔼³ ↪ X on which it acts as a discrete group of translations with the rhombic dodecahedron as a Dirichlet...
The small index property for quadratic spaces.
The structure of disjoint iteration groups on the circle
The aim of the paper is to investigate the structure of disjoint iteration groups on the unit circle , that is, families of homeomorphisms such that and each either is the identity mapping or has no fixed point ( is an arbitrary -divisible nontrivial (i.e., ) abelian group).
The Tits alternative for . I: Dynamics of exponentially-growing automorphisms.
Two properties of the filtration of the outer automorphism groups of certain groups.
Über vollständige Automorphismengruppen und Gleichungen in der Modulgruppe
Un problema sul gruppo degli automorfismi di un -gruppo finito
Автоморфизмы матричных групп над коммутативными кольцами
Автоморфизмы общей линейной группы над коммутативным кольцом, не порождаемым делителями нуля.
Автоморфизмы унипотентных подгрупп групп Шевалле
Бесконечная порожденность групп автоморфизмов свободных про--групп
Группы с регулярными элементарными 2-группами автоморфизмов
Изоморфизмы унитарных групп над ассоциативными кольцами
К проблеме сопряженности автоморфизмов свободных групп
Конечные группы внешних автоморфизмов свободных групп.