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Title: The connective K-theory of elementary abelian p-groups for odd primes
Author: Al-Boshmki, Mohammad Kazi Dakel
ISNI:       0000 0004 6060 6936
Awarding Body: University of Sheffield
Current Institution: University of Sheffield
Date of Award: 2016
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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.
Supervisor: Greenlees, John Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available