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When the intrinsic algebraic entropy is not really intrinsic

When the intrinsic algebraic entropy is not really intrinsic Abstract The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups. For a class of groups containing the groups of finite rank, aswell as those groupswhich are trajectories of finitely generated subgroups, it is proved that only fully inert subgroups of the group itself are needed to comput ent(ɸ). Examples show how the situation may be quite different outside of this class. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Topological Algebra and its Applications de Gruyter

When the intrinsic algebraic entropy is not really intrinsic

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References (27)

Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2299-3231
eISSN
2299-3231
DOI
10.1515/taa-2015-0005
Publisher site
See Article on Publisher Site

Abstract

Abstract The intrinsic algebraic entropy ent(ɸ) of an endomorphism ɸ of an Abelian group G can be computed using fully inert subgroups of ɸ-invariant sections of G, instead of the whole family of ɸ-inert subgroups. For a class of groups containing the groups of finite rank, aswell as those groupswhich are trajectories of finitely generated subgroups, it is proved that only fully inert subgroups of the group itself are needed to comput ent(ɸ). Examples show how the situation may be quite different outside of this class.

Journal

Topological Algebra and its Applicationsde Gruyter

Published: Oct 19, 2015

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