Squares of Conjugacy Classes in Alternating Groups

2023/05/08 by Michael Larsen, Larsen, Michael J., Pham Huu Tiep +1
Mathematics · Engineering · Materials Science · #Finite Group Theory Research #graph theory and CDMA systems #Quasicrystal Structures and Properties

paper · pdf · doi:10.48550/arxiv.2305.04806

Abstract

We extend to alternating groups A_n several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, C of S_n, we have C² ⊇ A_n∖\1\

Related

• Bounds on the number of conjugacy classes of the symmetric and\n alternating groups
• A lower-bound for the number of conjugacy classes of A_n
• Alternating groups as products of four conjugacy classes
• Products of three conjugacy classes in the alternating group
• Coverings of the Symmetric and Alternating Groups