Homotopy exponents of some homogenous spaces
Homotopy exponents of some homogenous spaces
Let p be an odd prime. Using homotopy decompositions and spherical fibrations, under certain dimensional restrictions, we obtain upper bounds of the p-primary homotopy exponents of some homogeneous spaces such as generalized complex Stiefel manifolds, generalized complex Grassmann manifolds, SU (2n)/Sp (n), E6/F4 and F4/G2 (the latter for p = 2 and p ? 5).
953-976
Grbić, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Zhao, Hao
19dd1185-3770-4816-8792-a86ba4c56d9d
December 2011
Grbić, Jelena
daaea124-d4cc-4818-803a-2b0cb4362175
Zhao, Hao
19dd1185-3770-4816-8792-a86ba4c56d9d
Grbić, Jelena and Zhao, Hao
(2011)
Homotopy exponents of some homogenous spaces.
The Quarterly Journal of Mathematics, 62 (4), .
(doi:10.1093/qmath/haq001).
Abstract
Let p be an odd prime. Using homotopy decompositions and spherical fibrations, under certain dimensional restrictions, we obtain upper bounds of the p-primary homotopy exponents of some homogeneous spaces such as generalized complex Stiefel manifolds, generalized complex Grassmann manifolds, SU (2n)/Sp (n), E6/F4 and F4/G2 (the latter for p = 2 and p ? 5).
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e-pub ahead of print date: 15 June 2010
Published date: December 2011
Organisations:
Pure Mathematics
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Local EPrints ID: 341247
URI: http://eprints.soton.ac.uk/id/eprint/341247
ISSN: 0033-5606
PURE UUID: 6ab3b801-b80e-4a40-b9c4-65a7dd4ded8d
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Date deposited: 18 Jul 2012 13:14
Last modified: 15 Mar 2024 03:45
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Author:
Hao Zhao
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