Products of conjugacy classes of the alternating group

2009/06/15 by Edith Adan-Bante, Adan-Bante, Edith, John M. Harris +3
Mathematics · #20B35 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.0906.2701

openalex publication_date 2009/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A_n be the alternating group on n letters. For n>5, we describe the elements alpha, beta in A_n when alpha^A_n beta^A_n is the union of at most four distinct conjugacy classes.

Related

• Alternating groups as products of four conjugacy classes
• Symmetric groups and conjugacy classes
• Products of three conjugacy classes in the alternating group
• A lower-bound for the number of conjugacy classes of A_n
• A property of alternating groups