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)
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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 |
---|---|

DOI/Identification number: | 10.1080/00927872.2014.999922 |

Subjects: | Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory |

Divisions: | Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |

Depositing User: | Peter Fleischmann |

Date Deposited: | 26 Nov 2015 09:05 UTC |

Last Modified: | 29 May 2019 16:31 UTC |

Resource URI: | https://kar.kent.ac.uk/id/eprint/52423 (The current URI for this page, for reference purposes) |

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