A Family of surjective word map on SU(2)

2023/01/19 by Rohit Kumar Yadav, Yadav, Rohit
Mathematics · #Algebraic Geometry and Number Theory #advanced mathematical theories #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2301.08219

Abstract

Let F be the free group on two generators a, b and let a family of words w = [[a, b], [a³, bⁿ]] in F. In this paper we examine surjectivity of word map w on special unitary group SU(2) over complex field C.

Related

• Surjectivity of certain word maps on PSL(2,C) and SL(2,C)
• About Goto's method showing surjectivity of word maps
• Surjective word maps and Burnsides p^aq^b theorem
• On non-surjective word maps on PSL₂(\mathbbF_q)
• On surjectivity of word maps on PSL₂