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February 11, 2026Ibn AL- Haitham Journal For Pure and Applied ScienceOpen Access

Covering Theorem for Alternating Groups

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Authors

SASh. S. Al-Bundi

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Overview

Brenner's work examines covering classes in alternating groups, revealing implications for group structure.

Key Points

  • This research aims to explore the covering properties of alternating groups specifically focusing on contumacy classes of certain types.
  • Analyzed the contumacy class of type (2)(n-2) for n greater than 6 and even.
  • Applied theoretical frameworks to classify the cycles within the alternating groups.
  • Investigated the relationship between the classes C, C', and A.
  • Established that CCC covers A for the classes under study.
  • Identified a split in the contumacy class into two distinct classes C and C', refining the understanding of their structures.
  • Demonstrated significant implications for the covering phenomenon related to alternating groups.

Cite This Study

Sh. S. Al-Bundi (2005) studied this question.

synapsesocial.com/papers/698c1bef267fb587c655deb8https://doi.org/10.30526/18.4.4406
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