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Critical groups and partitions of finite groups

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arxiv 2412.12345 v1 pith:7HRJPBGH submitted 2024-12-16 math.GR math.CO

Daniela Bubboloni , Nicolas Pinzauti This is my paper · ORCID
classification math.GRmath.CO
keywords groupsfiniteadmittingbyproductclassclosedcriticalcyclic
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We define a class of finite groups based on the properties of the closed twins of their power graphs and study the structure of those groups. As a byproduct, we obtain results about finite groups admitting a partition by cyclic subgroups.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Preventing Premature Commitment in Coding Agents with an Evidence-Conditioned Execution Layer

    cs.SE 2026-07 conditional novelty 7.0 of 10

    ECLoop gates coding agents' commit actions on task-specific evidence conditions, raising SWE-bench Verified Pass@1 by 4.8-11.8 points without retraining or scaffold changes.

  2. AutoODD: Agentic Audits via Bayesian Red Teaming in Black-Box Models

    cs.RO 2025-09 conditional novelty 4.0 of 10

    AutoODD combines an LLM agent with per-axis Gaussian Process uncertainty to automatically discover failure modes of black-box models, demonstrated on missing-digit MNIST and aircraft detect-and-avoid.

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