The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

The Local Structure Theorem for Finite Groups With a Large $p$-Subgroup

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Let p be a prime, G a finite Kp-group S a Sylow p-subgroup of G and Q a large subgroup of G in S (i.e., CG(Q)≤Q and NG(U)≤NG(Q) for 1≠U≤CG(Q)). Let L be

The Local Structure for Finite Groups with a Large P-subgroup

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The Strong Sylow Theorem for the Prime p in Simple Locally Finite Groups

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This research paper continues [15]. We begin with giving a profound overview of the structure of arbitrary simple groups and in particular of the simple locally

Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups

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The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on t

On Dwork's $p$-Adic Formal Congruences Theorem and Hypergeometric Mirror Maps

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Using Dwork's theory, the authors prove a broad generalization of his famous -adic formal congruences theorem. This enables them to prove certain -adic congruen