Divisible groups in the K-theory completion of SU(n)

Title: Divisible groups in the K-theory completion of SU(n)
Identifier: d_2009_2013:b1a5fb9cd861:10729
identifier: 10982
Creator: Gregory, Peter L.,
Contributor: Robert D. Thompson
Date: 2011
Language: English
Publisher: City University of New York.
Subject: Mathematics | Theoretical mathematics | algebraic | homotopy | topology | unstable
Abstract: I use the results of Bendersky and Thompson for the E(1)-based E2-term of S2 n+1, Es,t2KS2n+1 , and the results of Bendersky and Davis concerning the v 1-periodic groups of SU(n) to compute the E(1)-based E2-term for X = SU(n) for all primes p. This computation is performed using the Bendersky Thompson spectral sequence for SU(n). For spaces like SU(n) this spectral sequence converges to homotopy groups of the K-theory completion of SU( n), denoted pi* SU&d14; (n). Of particular interest is the existence of infinitely many divisible groups in the homotopy groups of the K-theory completion of SU which offers an example of how E-completion does not commute with direct limits.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics