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

Access to Document

10.1016/j.jalgebra.2014.07.021

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

Cite this

@article{d8979625457b42f6a17efe53710096d0,

title = "Fully inert subgroups of Abelian p-groups",

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.",

keywords = "Commensurable subgroups, Direct sums of cyclic p-groups, Fully inert subgroups, Fully invariant subgroups",

author = "B. Goldsmith and L. Salce and P. Zanardo",

year = "2014",

month = dec,

day = "1",

doi = "10.1016/j.jalgebra.2014.07.021",

language = "English",

volume = "419",

pages = "332--349",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Fully inert subgroups of Abelian p-groups

AU - Goldsmith, B.

AU - Salce, L.

AU - Zanardo, P.

PY - 2014/12/1

Y1 - 2014/12/1

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.

AB - 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.

KW - Commensurable subgroups

KW - Direct sums of cyclic p-groups

KW - Fully inert subgroups

KW - Fully invariant subgroups

UR - http://www.scopus.com/inward/record.url?scp=84906686002&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2014.07.021

DO - 10.1016/j.jalgebra.2014.07.021

M3 - Article

AN - SCOPUS:84906686002

SN - 0021-8693

VL - 419

SP - 332

EP - 349

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Fully inert subgroups of Abelian p-groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this