Homogeneous spaces with vanishing Steenrod squaring operations
Author:
Victor Schneider
Journal:
Proc. Amer. Math. Soc. 50 (1975), 451-458
MSC:
Primary 57E25; Secondary 57F15
DOI:
https://doi.org/10.1090/S0002-9939-1975-0405470-6
MathSciNet review:
0405470
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Abstract | References | Similar Articles | Additional Information
Abstract: If is a compact, connected Lie group,
is a closed subgroup of
and
has no nonzero Steenrod operations, then
splits as a product of homogeneous spaces of simple Lie groups (the factors of
). This fact is used to classify transitive actions on spaces with vanishing Steenrod operations, namely product of certain Stiefel manifolds and spheres.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1975-0405470-6
Keywords:
Homogeneous space,
Steenrod operations,
spectral sequence
Article copyright:
© Copyright 1975
American Mathematical Society