Conjugacy classes of p-cycles of type D in alternating groups
Fernando Fantino
TL;DR
This paper classifies conjugacy classes of p-cycles of type D in alternating groups, completing previous open cases and analyzing subracks that are not of type D.
Contribution
It provides a complete classification of certain conjugacy classes in alternating groups and identifies subracks not of type D, advancing the understanding of group structure.
Findings
Complete classification of conjugacy classes of p-cycles of type D
Identification of subracks not of type D
Resolution of open cases from prior research
Abstract
We classify the conjugacy classes of p-cycles of type D in alternating groups. This finishes the open cases in arXiv:0812.4628. We also determine all the subracks of those conjugacy classes which are not of type D.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry