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
Journal	International Journal of Algebra and Computation
DOIs	https://doi.org/10.1142/S0218196725500080
State	Accepted/In press - 2025

Keywords

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1142/S0218196725500080

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title = "Isotypical equivalence of periodic Abelian groups",

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.",

keywords = "Abelian p-groups, elementary equivalence, isotypical equivalence, periodic Abelian groups, Types",

author = "Elena Bunina",

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year = "2025",

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AU - Bunina, Elena

PY - 2025

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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.

KW - Abelian p-groups

KW - elementary equivalence

KW - isotypical equivalence

KW - periodic Abelian groups

KW - Types

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U2 - 10.1142/S0218196725500080

DO - 10.1142/S0218196725500080

M3 - مقالة

SN - 0218-1967

JO - International Journal of Algebra and Computation

JF - International Journal of Algebra and Computation

ER -

Isotypical equivalence of periodic Abelian groups

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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