ON CO-HOPFIAN NILPOTENT GROUPS

DOI10.1112/S0024609303002480zbMath1042.20022arXivmath/0302220OpenAlexW2143859950MaRDI QIDQ4437747

Igor Belegradek

Publication date: 3 December 2003

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0302220

zbMATH Keywords

co-Hopfian groupsLie algebra automorphismstorsion-free nilpotent groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Solvable, nilpotent (super)algebras (17B30)

Related Items (18)

Virtual endomorphisms of nilpotent groups. ⋮ Euler characteristics on a class of finitely generated nilpotent groups. ⋮ Local-global invariants of finite and infinite groups: around Burnside from another side. ⋮ Describing groups ⋮ On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups ⋮ Action of endomorphism semigroups on definable sets ⋮ Scale-invariant groups. ⋮ Cohopfian groups and accessible group classes ⋮ Towers of regular self-covers and linear endomorphisms of tori ⋮ Ordering Thurston’s geometries by maps of nonzero degree ⋮ Structure of normally and finitely non-co-Hopfian groups ⋮ Plotkin's geometric equivalence, Mal'cev's closure, and incompressible nilpotent groups ⋮ Pro-groups and generalizations of a theorem of Bing ⋮ Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume ⋮ Cantor dynamics of renormalizable groups ⋮ Gradings on Lie algebras, systolic growth, and cohopfian properties of nilpotent groups ⋮ Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups ⋮ Strongly scale-invariant virtually polycyclic groups

This page was built for publication: ON CO-HOPFIAN NILPOTENT GROUPS