Shank, R. James,
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)
(KAR id:515)

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/10.1006/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 |
---|---|

DOI/Identification number: | 10.1006/jsco.2002.0558 |

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

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

Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |

Depositing User: | Judith Broom |

Date Deposited: | 19 Dec 2007 18:18 UTC |

Last Modified: | 16 Nov 2021 09:39 UTC |

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

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