Growth rate of an endomorphism of a group

DOI10.1515/gcc.2011.011zbMath1243.20053arXiv1103.5622OpenAlexW2015989756MaRDI QIDQ2884690

Delaram Kahrobaei, Benjamin Fine, Kenneth J. Falconer

Publication date: 18 May 2012

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.5622

zbMATH Keywords

finitely generated groupsnilpotent groupspolycyclic groupsgrowth rates of endomorphisms

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Geometric group theory (20F65) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Automorphisms of infinite groups (20E36)

Related Items (4)

Entropy on abelian groups ⋮ Growth rate for endomorphisms of finitely generated nilpotent groups ⋮ GROWTHS OF ENDOMORPHISMS OF FINITELY GENERATED SEMIGROUPS ⋮ Some applications of algebraic entropy to the proof of Milnor-Wolf theorem

Cites Work

• Some metric properties of automorphisms of groups.
• ON THE GROWTH OF GROUPS AND AUTOMORPHISMS

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