The expansion factors of an outer automorphism and its inverse

DOI10.1090/S0002-9947-07-04066-4zbMath1127.20021arXivmath/0410015OpenAlexW1996324305MaRDI QIDQ3431210

Lee Mosher, Michael Handel

Publication date: 5 April 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410015

zbMATH Keywords

outer automorphisms of free groupsfully irreducible automorphismsexpansion factors

Mathematics Subject Classification ID

Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items

RELATIVE TWISTING IN OUTER SPACE, Hyperbolic extensions of free groups, Dynamics on free-by-cyclic groups, Sphere paths in outer space, Orientable maps and polynomial invariants of free-by-cyclic groups, The isometry group of outer space, Unbounded asymmetry of stretch factors., Asymmetry of outer space., Asymmetry of outer space of a free product, COUNTING CONJUGACY CLASSES IN, Walks on groups, counting reducible matrices, polynomials, and surface and free group automorphisms, Contracting orbits in Outer space, Axes in outer space, Parageometric outer automorphisms of free groups

Cites Work

• Translation lengths in \(\text{Out}(F_n)\).
• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• Train tracks and automorphisms of free groups
• The Tits alternative for \(\text{Out}(F_n)\). I: Dynamics of exponentially-growing automorphisms
• Automorphisms of free groups and outer space
• Parageometric outer automorphisms of free groups
• IRREDUCIBLE AUTOMORPHISMS OF $F_{n}$ HAVE NORTH–SOUTH DYNAMICS ON COMPACTIFIED OUTER SPACE