The Maximal Factorizations Of The Finite Simple Groups And Their Automorphism Groups

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The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups

Author: Martin W. Liebeck
language: en
Publisher: American Mathematical Soc.
Release Date: 1990
The main result describes completely the maximal factorizations of all the finite simple groups and their automorphism groups. As a consequence, a classification of the maximal subgroups of the finite alternating and symmetric groups is obtained.
Constant Mean Curvature Immersions of Enneper Type

Author: Henry C. Wente
language: en
Publisher: American Mathematical Soc.
Release Date: 1992
This memoir is devoted to the case of constant mean curvature surfaces immersed in [bold]R3. We reduce this geometrical problem to finding certain integrable solutions to the Gauss equation. Many new and interesting examples are presented, including immersed cylinders in [bold]R3 with embedded Delaunay ends and [italic]n-lobes in the middle, and one-parameter families of immersed constant mean curvature tori in [bold]R3. We examine minimal surfaces in hyperbolic three-space, which is in some ways the most complicated case.
Enright-Shelton Theory and Vogan's Problem for Generalized Principal Series

This book investigates the composition series of generalized principal series representations induced from a maximal cuspidal parabolic subgroup of a real reductive Lie group. Boe and Collingwood study when such representations are multiplicity-free (Vogan's Problem #3) and the problem of describing their composition factors in closed form. The results obtained are strikingly similar to those of Enright and Shelton for highest weight modules. Connections with two different flag variety decompositions are discussed.