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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,695 papers · 148 categories

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0111 · Jan 201919922001200920172026
4 results for “non-freeness”
On non-freeness of groups generated by two parabolic matrices with rational parameters: limit points and the orbit testmath.GR

Article explores non-freeness of groups generated by two specific matrices, providing counterexamples and sequences.

problem Tackles the non-freeness of groups generated by two parabolic matrices with rational parameters.
method Uses the orbit test and modulo homomorphisms to provide sufficient conditions and counterexamples.
result Constructs explicit counterexamples and sequences converging to 3, demonstrating non-freeness.
non-freenessparabolic matricesorbit testrational numbersfree groups
2025-12-23abs ↗pdf ↗
On the elementary theory of graph products of groupsmath.GR

The paper studies graph products of groups and recovers graph and vertex groups under certain conditions.

problem Recovering graph and vertex groups from graph products of groups.
method Using non-generic almost positive sentences, the authors show that under specific conditions, the underlying graph and vertex groups can be recovered.
result The core of the defining graph determines an invariant of the elementary theory of a right-angled Artin group.
graph productsgroupselementary theorynon-generic almost positive sentencesright-angled Artin groups
2021-06-07abs ↗pdf ↗