Isotypical equivalence of periodic Abelian groups

Elena Bunina

doi:10.1142/s0218196725500080

Isotypical equivalence of periodic Abelian groups

Elena Bunina

Department of Mathematics

Bar-Ilan University

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

Abstract

In this paper, a complete set of invariants that characterize isotypically equivalent Abelian periodic groups is provided. Additionally, all types of standard tuples of elements in these groups are described. As a corollary, an example of a continuum of non-isomorphic isotypically equivalent countable Abelian p-groups is given.

Original language	English
Pages (from-to)	357-373
Number of pages	17
Journal	International Journal of Algebra and Computation
Volume	35
Issue number	3
DOIs	https://doi.org/10.1142/s0218196725500080
State	Published - May 2025

Keywords

Abelian p-groups
Types
elementary equivalence
isotypical equivalence
periodic Abelian groups

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/s0218196725500080

Cite this

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abstract = "In this paper, a complete set of invariants that characterize isotypically equivalent Abelian periodic groups is provided. Additionally, all types of standard tuples of elements in these groups are described. As a corollary, an example of a continuum of non-isomorphic isotypically equivalent countable Abelian p-groups is given.",

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AB - In this paper, a complete set of invariants that characterize isotypically equivalent Abelian periodic groups is provided. Additionally, all types of standard tuples of elements in these groups are described. As a corollary, an example of a continuum of non-isomorphic isotypically equivalent countable Abelian p-groups is given.

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M3 - مقالة

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JO - International Journal of Algebra and Computation

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IS - 3

ER -

Isotypical equivalence of periodic Abelian groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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