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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The real Brauer group of a finite CW-complex


Author: Elisabetta Strickland
Journal: Proc. Amer. Math. Soc. 75 (1979), 163-168
MSC: Primary 55R10; Secondary 14F20, 16A39
MathSciNet review: 529234
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Abstract: In this paper a complete description in homological terms of the real Brauer group $ {\text{Br}_R}(X)$ of a finite CW-complex X is obtained, in analogy with Jean Pierre Serre's result on the complex Brauer group $ {\text{Br}_C}(X)$ and the author's one for the orthogonal case. Precisely it is shown that

$\displaystyle {\text{Br}_R}(X) \cong {H^2}(X,{Z_2}) \oplus {H^0}(X,{Z_2}).$


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1979-0529234-1
PII: S 0002-9939(1979)0529234-1
Article copyright: © Copyright 1979 American Mathematical Society