MIXED IDENTITIES FOR OLIGOMORPHIC AUTOMORPHISM GROUPS

Abstract We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity.

Authors

Andreas Thom (ORCID: https://orcid.org/0000-0002-7245-2861)
Manuel Bodirsky (ORCID: https://orcid.org/0000-0001-8228-3611)
Jakob Schneider (ORCID: https://orcid.org/0000-0003-1395-034X)

Institutions

Technische Universität Dresden (DE)

Publication Details

Journal: Journal of Symbolic Logic
Published: 2025-08-19
DOI: https://doi.org/10.1017/jsl.2025.10123
Primary Topic: Finite Group Theory Research
Type: article
Field-Weighted Citation Impact: 0.00

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article

MIXED IDENTITIES FOR OLIGOMORPHIC AUTOMORPHISM GROUPS

Andreas Thom, Manuel Bodirsky, Jakob Schneider

Aug 19, 2025

Journal of Symbolic Logic

Finite Group Theory Research

article

MIXED IDENTITIES FOR OLIGOMORPHIC AUTOMORPHISM GROUPS

Andreas Thom, Manuel Bodirsky, Jakob Schneider

August 19, 2025article en

Abstract

Abstract We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity.

Journal of Symbolic Logic

Technische Universität Dresden (DE)

Openalex Percentile: Top 72%

Finite Group Theory Research

DOI Open Access PDF OpenAlex

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MIXED IDENTITIES FOR OLIGOMORPHIC AUTOMORPHISM GROUPS — Andreas Thom, Manuel Bodirsky, et al. · Journal of Symbolic Logic (2025) | TGRS Research Map | TGRS