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July 16, 2026Journal of Group Theory

Classification of the prime graphs of Sz(8)-, Sz(32)-, and PSL(2, 2 5 )-solvable groups

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Authors

TKThomas Michael KellerZMZachary MartinARAlexa Renner

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Overview

Randomized trial classifies prime graphs in solvable groups, suggesting new insights on complex structures.

Key Points

  • This study aims to complete the classification of prime graphs for specific solvable groups.
  • Analyzed prime graphs where vertices represent primes dividing the order of the group.
  • Examined connections between vertices based on elements of specific orders within the groups.
  • Focused on groups defined as Sz(8), Sz(32), and PSL(2,2^5).
  • Completed classification for Sz(32) with a comprehensive graph representation.
  • Established connectivity properties for Sz(8) and PSL(2,2^5).
  • Confirmed the complexity of prime graphs in these solvable structures.

Cite This Study

Keller et al. (2026) studied this question.

synapsesocial.com/papers/6a58763f2b46c88ba9ad1dd9https://doi.org/10.1515/jgth-2025-0099
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