The essential p-dimension of the split finite quasi-simple groups of classical Lie type
Hannah Knight
Abstract
Hannah Knight
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.
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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.
Key concepts: Mathematics, Classical group, Group of Lie type, Dimension (graph theory), Simple (philosophy), Pure mathematics, Type (biology), Classification of finite simple groups