ON CO-HOPFIAN NILPOTENT GROUPS

IGOR BELEGRADEK

doi:10.1112/S0024609303002480

Abstract

Co-Hopfian finitely generated torsion-free nilpotent groups are characterized in this paper in terms of their Lie algebra automorphisms. Many examples of such groups are also constructed.Partially supported by NSF Grant # DMS-0203979.

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Kapovich, Ilya and Lukyanenko, Anton 2012. Quasi-isometric co-Hopficity of non-uniform lattices in rank-one semi-simple Lie groups. Conformal Geometry and Dynamics of the American Mathematical Society, Vol. 16, Issue. 14, p. 269.

Kunyavskiĭ, Boris 2013. Local–global invariants of finite and infinite groups: Around Burnside from another side. Expositiones Mathematicae, Vol. 31, Issue. 3, p. 256.

Casals-Ruiz, Montserrat 2016. Embeddability and quasi-isometric classification of partially commutative groups. Algebraic & Geometric Topology, Vol. 16, Issue. 1, p. 597.

Mashevitzky, G. Plotkin, B. and Plotkin, E. 2018. Action of endomorphism semigroups on definable sets. International Journal of Algebra and Computation, Vol. 28, Issue. 08, p. 1585.

Neofytidis, Christoforos 2018. Ordering Thurston’s geometries by maps of nonzero degree. Journal of Topology and Analysis, Vol. 10, Issue. 04, p. 853.

van Limbeek, Wouter 2018. Towers of regular self-covers and linear endomorphisms of tori. Geometry & Topology, Vol. 22, Issue. 4, p. 2427.

Noskov, G. A. 2019. Plotkin’s Geometric Equivalence, Mal’cev’s Closure, and Incompressible Nilpotent Groups. Journal of Mathematical Sciences, Vol. 243, Issue. 4, p. 601.

Clark, Alex Hurder, Steven and Lukina, Olga 2020. Pro-groups and generalizations of a theorem of Bing. Topology and its Applications, Vol. 271, Issue. , p. 106986.

Neofytidis, Christoforos and Zhang, Weiyi 2021. Geometric structures, the Gromov order, Kodaira dimensions and simplicial volume. Pacific Journal of Mathematics, Vol. 315, Issue. 1, p. 209.

de Giovanni, Francesco and Trombetti, Marco 2021. Cohopfian groups and accessible group classes. Pacific Journal of Mathematics, Vol. 312, Issue. 2, p. 457.

Neofytidis, Christoforos 2023. On a problem of Hopf for circle bundles over aspherical manifolds with hyperbolic fundamental groups. Algebraic & Geometric Topology, Vol. 23, Issue. 7, p. 3205.

Neofytidis, Christoforos 2024. Endomorphisms of mapping tori. Transactions of the American Mathematical Society,

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ON CO-HOPFIAN NILPOTENT GROUPS

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ON CO-HOPFIAN NILPOTENT GROUPS

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