Characteristic Polynomials and Fixed Spaces of Semisimple Elements

2011/12/20 by Robert M. Guralnick, Robert Guralnick, Guralnick, Robert +2
Computer Science · Engineering · Mathematics · #20C20 #Differential Equations and Numerical Methods #FOS: Mathematics #Group Theory (math.GR) #Material Science and Thermodynamics #Matrix Theory and Algorithms #Representation Theory (math.RT) #math.GR #math.RT #msc:20C20

paper · pdf · doi:10.48550/arxiv.1112.4555

arxiv created 2011/12/20 · openalex publication_date 2011/12/20 · arxiv updated 2011/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Answering a question of Frank Calegari, we extend some of our earlier results on dimension of fixed point spaces of elements in irreducible linear groups. We consider characteristic polynomials rather than just fixed spaces.

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