Shank, R. James and Wehlau, David L.
(2002)
*
Computing modular invariants of p-groups.
*
Journal of Symbolic Computation,
34
(5).
pp. 307-327.
ISSN 0747-7171.
(doi:10.1006/jsco.2002.0558 )
(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)

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. (Contact us about this Publication) | |

Official URL http://dx.doi.org/10.1006/jsco.2002.0558 |

## Abstract

Let V be a finite dimensional representation of a p-group, G, over a field, k, of characteristic p. We show that there exists a choice of basis and monomial order for which the ring of invariants, k[V](G), has a finite SAGBI basis. We describe two algorithms for constructing a generating set fork[V]G. We use these methods to analyse k[2V(3)](U3) where U-3 is the p-Sylow subgroup of GL(3)(F-p) and 2V(3) is the sum of two copies of the canonical representation. We give a generating set for k[2V(3)](U3) for p = 3 and prove that the invariants fail to be Cohen-Macaulay for p > 2. We also give a minimal generating set for k[mV(2)](Z/p) were V-2 is the two-dimensional indecomposable representation of the cyclic group Z/p. (C) 2002 Elsevier Science Ltd.. All rights reserved.

Item Type: | Article |
---|---|

Uncontrolled keywords: | POLYNOMIAL INVARIANTS; SAGBI BASES; RINGS |

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

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science |

Depositing User: | Judith Broom |

Date Deposited: | 19 Dec 2007 18:18 |

Last Modified: | 30 May 2014 09:46 |

Resource URI: | https://kar.kent.ac.uk/id/eprint/515 (The current URI for this page, for reference purposes) |

- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV

- Depositors only (login required):