AL-BOSHMKI, MOHAMMAD KAZI DAKEL
(2016)
*The connective K-theory of elementary abelian p-groups for odd primes.*
PhD thesis, University of Sheffield.

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## Abstract

For an odd prime p, we aim to do some calculations of connective K-theory of elementary abelian groups V(r), where V(r) denotes an elementary abelian p-group of rank r. The methods involve a combination of Adams spectral sequence (ASS) calculations together with local cohomology calculations. The overall plan builds on and takes its inspiration from work of J. Greenlees and R. Bruner. As a step towards the Gromov-Lawson-Rosenberg (GLR) conjecture for V(r), the thesis calculates the complex connective K-cohomology, ku^*(BV(r)), for r ≤ 3, and the complex connective K-homology, ku_*(BV (r)) for p = 3 and r ≤ 2.

Item Type: | Thesis (PhD) |
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Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |

Depositing User: | MR MOHAMMAD KAZI DAKEL AL-BOSHMKI |

Date Deposited: | 31 Mar 2017 11:59 |

Last Modified: | 31 Mar 2017 11:59 |

URI: | http://etheses.whiterose.ac.uk/id/eprint/16783 |