Fully inert subgroups of Abelian p-groups

B. Goldsmith; L. Salce; P. Zanardo

doi:10.1016/j.jalgebra.2014.07.021

Fully inert subgroups of Abelian p-groups

B. Goldsmith, L. Salce, P. Zanardo

Research output: Contribution to journal › Article › peer-review

Abstract

A subgroup H of an Abelian group G is said to be fully inert in G, if for every endomorphism φ of G, the factor group (H + φ(H))/. H is finite. This notion arises in the study of the dynamical properties of endomorphisms (entropy). The principal result of this work is that fully inert subgroups of direct sums of cyclic p-groups are commensurable with fully invariant subgroups of the direct sum.

Original language	English
Pages (from-to)	332-349
Number of pages	18
Journal	Journal of Algebra
Volume	419
DOIs	https://doi.org/10.1016/j.jalgebra.2014.07.021
Publication status	Published - 1 Dec 2014
Externally published	Yes

Keywords

Commensurable subgroups
Direct sums of cyclic p-groups
Fully inert subgroups
Fully invariant subgroups

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10.1016/j.jalgebra.2014.07.021

https://arrow.tudublin.ie/scschmatart/284Licence: CC BY-NC-SA

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AU - Salce, L.

AU - Zanardo, P.

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N2 - A subgroup H of an Abelian group G is said to be fully inert in G, if for every endomorphism φ of G, the factor group (H + φ(H))/. H is finite. This notion arises in the study of the dynamical properties of endomorphisms (entropy). The principal result of this work is that fully inert subgroups of direct sums of cyclic p-groups are commensurable with fully invariant subgroups of the direct sum.

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KW - Commensurable subgroups

KW - Direct sums of cyclic p-groups

KW - Fully inert subgroups

KW - Fully invariant subgroups

UR - https://www.scopus.com/pages/publications/84906686002

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VL - 419

SP - 332

EP - 349

JO - Journal of Algebra

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ER -

Fully inert subgroups of Abelian p-groups

Abstract

Keywords

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