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# The invariant fields of the Sylow groups of classical groups in the natural characteristic

Fleischmann, Peter, Ferreira, Jorge (2015) The invariant fields of the Sylow groups of classical groups in the natural characteristic. Communications in Algebra, 44 (3). pp. 977-1010. ISSN 0092-7872. E-ISSN 1532-4125. (doi:10.1080/00927872.2014.999922) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:52423)

 The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. Official URL:http://dx.doi.org/10.1080/00927872.2014.999922

## Abstract

Let X be any finite classical group defined over a finite field of characteristic p > 0. In

this article, we determine the fields of rational invariants for the Sylow p-subgroups of

X, acting on the natural module. In particular, we prove that these fields are generated

by orbit products of variables and certain invariant polynomials which are images under

Steenrod operations, applied to the respective invariant linear forms defining X.

Item Type: Article 10.1080/00927872.2014.999922 Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science Peter Fleischmann 26 Nov 2015 09:05 UTC 17 Aug 2022 10:59 UTC https://kar.kent.ac.uk/id/eprint/52423 (The current URI for this page, for reference purposes)
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