Some Multilinear Forms with Large Isometry Groups

Michael Aschbacher
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Michael Aschbacher: California Institute of Technology

A chapter in Geometries and Groups, 1988, pp 417-465 from Springer

Abstract: Abstract Many groups are best described as the group of automorphisms of some natural object. I’m interested in obtaining such descriptions of the finite simple groups, and more generally descriptions of the groups of Lie type over arbitrary fields. The representation of the alternating group of degree n as the group of automorphisms of a set of order n is an excellent example of such a description. The representation of the classical groups as the isometry groups of bilinear or sequilinear forms is another.

Keywords: Quadratic Form; Bilinear Form; Maximal Torus; Isometry Group; Coset Representative (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-4017-8_15

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