Equations in groups that are virtually direct products

Laura Ciobanu; Derek Holt; Sarah Rees

doi:10.1016/j.jalgebra.2018.10.044

Equations in groups that are virtually direct products

Laura Ciobanu
, Derek Holt
, Sarah Rees

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

10 Citations (Scopus)

134 Downloads (Pure)

Abstract

In this note, we show that the satisfiability of equations and inequations with recognisable constraints is decidable in groups that are virtually direct products of finitely many hyperbolic groups.

Original language	English
Pages (from-to)	88-99
Number of pages	12
Journal	Journal of Algebra
Volume	545
Early online date	6 Dec 2018
DOIs	https://doi.org/10.1016/j.jalgebra.2018.10.044
Publication status	Published - 1 Mar 2020

Keywords

Direct products
Equations in groups
Hyperbolic groups
Wreath products

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2018.10.044

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© 2018 Elsevier B.V.
Accepted author manuscript, 230 KBLicence: CC BY-NC-ND

Cite this

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title = "Equations in groups that are virtually direct products",

abstract = "In this note, we show that the satisfiability of equations and inequations with recognisable constraints is decidable in groups that are virtually direct products of finitely many hyperbolic groups.",

keywords = "Direct products, Equations in groups, Hyperbolic groups, Wreath products",

author = "Laura Ciobanu and Derek Holt and Sarah Rees",

year = "2020",

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doi = "10.1016/j.jalgebra.2018.10.044",

language = "English",

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AU - Ciobanu, Laura

AU - Holt, Derek

AU - Rees, Sarah

PY - 2020/3/1

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N2 - In this note, we show that the satisfiability of equations and inequations with recognisable constraints is decidable in groups that are virtually direct products of finitely many hyperbolic groups.

AB - In this note, we show that the satisfiability of equations and inequations with recognisable constraints is decidable in groups that are virtually direct products of finitely many hyperbolic groups.

KW - Direct products

KW - Equations in groups

KW - Hyperbolic groups

KW - Wreath products

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U2 - 10.1016/j.jalgebra.2018.10.044

DO - 10.1016/j.jalgebra.2018.10.044

M3 - Article

SN - 0021-8693

VL - 545

SP - 88

EP - 99

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Equations in groups that are virtually direct products

Abstract

Keywords

ASJC Scopus subject areas

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