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Some multilinear forms with large isometry groups

Aschbacher, Michael (1988) Some multilinear forms with large isometry groups. Geometriae Dedicata, 25 (1-3). pp. 417-465. ISSN 0046-5755. doi:10.1007/bf00191936. https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055206

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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.


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Additional Information:© 1988 by D. Reidel Publishing Company. Partially supported by the National Science Foundation.
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Issue or Number:1-3
DOI:10.1007/bf00191936
Record Number:CaltechAUTHORS:20200930-113055206
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055206
Official Citation:Aschbacher, M. Some multilinear forms with large isometry groups. Geom Dedicata 25, 417–465 (1988). https://doi.org/10.1007/BF00191936
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105683
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:30 Sep 2020 19:56
Last Modified:16 Nov 2021 18:45

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