The essential p-dimension of the split finite quasi-simple groups of classical Lie type

2021/09/06 by Knight, Hannah · 2 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2109.02698

Abstract

In this paper, we compute the essential p-dimension of the split finite quasi-simple groups of classical Lie type at the defining prime, specifically the quasi-simple groups arising from the general linear and special linear groups, the symplectic groups, and the orthogonal groups.

Cited by

• The Sylow p-subgroups of the finite simple groups
• The essential and the Cremona dimensions of a group

Related

• The essential l-dimension of finite groups of Lie type, l ≠ 2
• Quasi-simple finite groups of essential dimension 3
• The essential 2-dimension of the linear groups
• Finite simple groups of small essential dimension
• Essential Dimension of Small Finite Groups