Homotopy exponents of some homogeneous spaces

Jelena Grbic; Jelena Grbić; Hao Zhao

doi:10.1093/qmath/haq001

Homotopy exponents of some homogeneous spaces

Jelena Grbic
, Jelena Grbić
, Hao Zhao

Research output: Contribution to journal › Article › peer-review

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). © 2010. Published by Oxford University Press. All rights reserved.

Original language	English
Pages (from-to)	953-976
Number of pages	23
Journal	Quarterly Journal of Mathematics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1093/qmath/haq001
Publication status	Published - Dec 2011

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title = "Homotopy exponents of some homogeneous spaces",

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). {\textcopyright} 2010. Published by Oxford University Press. All rights reserved.",

author = "Jelena Grbic and Jelena Grbi{\'c} and Hao Zhao",

year = "2011",

month = dec,

doi = "10.1093/qmath/haq001",

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T1 - Homotopy exponents of some homogeneous spaces

AU - Grbic, Jelena

AU - Grbić, Jelena

AU - Zhao, Hao

PY - 2011/12

Y1 - 2011/12

N2 - 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). © 2010. Published by Oxford University Press. All rights reserved.

AB - 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). © 2010. Published by Oxford University Press. All rights reserved.

U2 - 10.1093/qmath/haq001

DO - 10.1093/qmath/haq001

M3 - Article

SN - 0033-5606

VL - 62

SP - 953

EP - 976

JO - Quarterly Journal of Mathematics

JF - Quarterly Journal of Mathematics

IS - 4

ER -

Homotopy exponents of some homogeneous spaces

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