Hannah Knight
Abstract
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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.
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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: Classical group, Mathematics, Simple (philosophy), Dimension (graph theory), Classification of finite simple groups, Group of Lie type, Type (biology), Symplectic geometry