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A Mapping Problem and Jp-Index. I

Published online by Cambridge University Press:  20 November 2018

Masami Wakae  and
Oma Hamara
Masami Wakae
Affiliation:
University of Manitoba, Winnipeg, Manitoba
Oma Hamara
Affiliation:
University of Arizona, Tucson, Arizona
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Indices of normal spaces with countable basis for equivariant mappings have been investigated by Bourgin [4; 6] and by Wu [11; 12] in the case where the transformation groups are of prime order p. One of us has extended the concept to the case where the transformation group is a cyclic group of order pt and discussed its applications to the Kakutani Theorem (see [10]). In this paper we will define the Jp-index of a normal space with countable basis in the case where the transformation group is a cyclic group of order n, where n is divisible by p. We will decide, by means of the spectral sequence technique of Borel [1; 2], the Jp-index of SO(n) where n is an odd integer divisible by p. The method used in this paper can be applied to find the Jp-index of a classical group G whose cohomology ring over Jp has a system of universally transgressive generators of odd degrees.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 22 , Issue 4 , 01 August 1970 , pp. 705 - 712
Copyright
Copyright © Canadian Mathematical Society 1970

References

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