Quasi-convex surface subgroups in some one-relator groups with torsion

Q: What type of study is this?

This is a Quasi-Experimental study.

Andrew Y. Ng

doi:10.48550/arxiv.2510.01876

October 2, 2025Open Access

Quasi-convex surface subgroups in some one-relator groups with torsion

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Key Points

Surface subgroups in one-relator groups with torsion can provide insights into group structure, enhancing understanding of geometric group theory.
The derived profinite criterion indicates if a word in the free group is primitive, linking surface subgroup existence to group properties.
A detailed examination of quasi-convexity reveals significant implications for subgroups within the context of torsion one-relator groups.
The interplay between surface subgroups and their corresponding profinite implications invites further exploration in geometric group theory.

Implication

This analysis reveals surface subgroups in one-relator groups with torsion, suggesting a new profinite criterion for primitivity.

Abstract

We find surface subgroups in certain one-relator groups with torsion and use this to deduce a profinite criterion for a word in the free group to be primitive.

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Cite This Study

Andrew Y. Ng (2025) studied this question.

synapsesocial.com/papers/68e25385d6d66a53c2474e71 https://doi.org/10.48550/arxiv.2510.01876

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Quasi-convex surface subgroups in some one-relator groups with torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

Quasi-convex surface subgroups in some one-relator groups with torsion

Key Points

Implication

Abstract

Discussion

Cite This Study

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