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August 28, 2025Communications in Algebra

On the largest τ -closed subclass of an n -multiply σ -local formation

Inna Nikolaevna Safonova Valentina V. Skrundz

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Key Points

τ-closed subclasses have unique properties that influence group structure and relationships.
The partition of primes plays a critical role in understanding the σ-local formation of groups.
Finite groups can be categorized based on their intersections with prime partitions, enhancing classification.
The derived classes σ(G) and σ(F) demonstrate essential connections between groups and their prime factors.

Implication

This analysis identifies τ-closed subclasses within n-multiply σ-local formations, indicating their relationship to finite groups.

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Cite This Study

Safonova et al. (2025) studied this question.

synapsesocial.com/papers/68bb3ee82b87ece8dc9573a3 https://doi.org/10.1080/00927872.2025.2547696

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