Discrete dynamical systems in group theory

zbMath1280.37023arXiv1308.4035MaRDI QIDQ2856424

Dikran Dikranjan, Anna Giordano Bruno

Publication date: 28 October 2013

Full work available at URL: https://arxiv.org/abs/1308.4035

zbMATH Keywords

entropygrowthalgebraic entropyMilnor problembridge theoremsemigroup entropynormed semigroup

Mathematics Subject Classification ID

Category-theoretic methods and results in associative algebras (except as in 16D90) (16B50) Geometric group theory (20F65) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Entropy in general topology (54C70) Topological entropy (37B40) Duality theorems for locally compact groups (22D35) Mappings of semigroups (20M15) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Duality in applied homological algebra and category theory (aspects of algebraic topology) (55U30)

Related Items (16)

Entropy on abelian groups ⋮ Algebraic entropy for amenable semigroup actions ⋮ Algebraic entropy for valuation domains ⋮ Additivity of the algebraic entropy for locally finite groups with permutable finite subgroups ⋮ Ore localization of amenable monoid actions and applications toward entropy -- addition formulas and the bridge theorem ⋮ GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS ⋮ The Bridge Theorem for totally disconnected LCA groups ⋮ Algebraic Entropies for Abelian Groups with Applications to the Structure of Their Endomorphism Rings: A Survey ⋮ Inertial properties in groups ⋮ Milnor-Wolf theorem for group endomorphisms ⋮ Algebraic entropy on topologically quasihamiltonian groups ⋮ Algebraic entropy on strongly compactly covered groups ⋮ Entropy on normed semigroups (towards a unifying approach to entropy) ⋮ Intrinsic valuation entropy ⋮ Generalized quasi-metric semilattices ⋮ Intrinsic entropy for generalized quasimetric semilattices

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