Expansion of conjugacy classes in PSL(2,q)

2013/07/25 by Shelly Garion, Garion, Shelly · 1 citation
Computer Science · Mathematics · #20D06 #Algebraic structures and combinatorial models #Artificial intelligence #Class (philosophy) #Coding theory and cryptography #Combinatorics #Computer science #Conjugacy class #Conjugate #FOS: Mathematics #Finite Group Theory Research #Geometry #Group Theory (math.GR) #Mathematical analysis #Mathematics #PSL #Product (mathematics) #Pure mathematics #math.GR #msc:20D06

paper · pdf · doi:10.48550/arxiv.1307.6662

published in arXiv (Cornell University) (Cornell University) · 15 pages

arxiv created 2013/07/25 · openalex publication_date 2013/07/25 · arxiv updated 2013/07/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

For any conjugacy class C in G=PSL(2,q) we compute C² and discuss whether C contains a triple of elements whose product is 1 which generate G. Moreover, we determine which elements in G can be written as a product of two conjugate elements that generate G.

Citations

• On Beauville Structures for PSL(2,q)

Cited by

• Expansion of normal subsets of odd-order elements in finite groups

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