## Abstract

Let E be an elementary abelian p-group of rank r and let k be an algebraically closed field of characteristic p. We investigate finitely generated kE-modules M of stable constant Jordan type [a][b] for 1¿a,b¿p-1 using the functors Fi from modules of constant Jordan type to vector bundles on projective space Pr-1 constructed by Benson and Pevtsova (in press) [3].

In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].

In particular, we study relations on the first few Chern numbers of the trivial bundle to obtain restrictions on the values of a and b for sufficiently large ranks and primes. Finally, we use similar techniques to find restrictions on the values of p and r for which there exist modules of stable constant Jordan type [3][2][1].

Original language | English |
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Pages (from-to) | 343-350 |

Number of pages | 8 |

Journal | Journal of Algebra |

Volume | 346 |

Issue number | 1 |

Early online date | 8 Sep 2011 |

DOIs | |

Publication status | Published - 15 Nov 2011 |

## Keywords

- Modules of constant Jordan type
- Elementary abelian p-groups
- Vector bundles
- Chern numbers
- Projective space