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October 2, 20250 citationsOpen Access

Study of Finite Groups with Nontrivial Partitions and Their Global Breadth

On the global breadth of finite groups with nontrivial partitions

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Authors

SMSeid Kassaw MuhieDODaniele Ettore OteraFRFrancesco G. Russo

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Overview

Analysis reveals new class of finite groups under global breadth, suggesting connections to nontrivial partitions.

Key Points

  • The classification of finite groups shows that those with global breadth of 8 provide structural insights.
  • Research establishes that finite groups with nontrivial partitions can belong to a new class defined by their global breadth.
  • Projective special linear groups, projective general linear groups, and Suzuki groups are fundamental members of this class.
  • The findings indicate the inclusion of large families of simple groups in the explored class for the first time.
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Cite This Study

Muhie et al. (2025) studied this question.

synapsesocial.com/papers/68de84bf5b556a9128e1bf53https://doi.org/10.48550/arxiv.2506.19675
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