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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



The module of indecomposables for finite $H$-spaces

Author: Richard Kane
Journal: Trans. Amer. Math. Soc. 222 (1976), 303-318
MSC: Primary 55D45; Secondary 57F05
MathSciNet review: 0423341
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Abstract: The module of indecomposables obtained from the $\bmod p$ cohomology of a finite H-space is studied for p odd. General structure theorems are obtained, first, regarding the possible even dimensions in which this module can be nonzero and, secondly, regarding how the Steenrod algebra acts on the module.

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Keywords: <I>H</I>-space, <IMG WIDTH="62" HEIGHT="39" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$\bmod \;p$"> finite, Hopf algebra, indecomposable, primitive, Steenrod algebra, secondary operation
Article copyright: © Copyright 1976 American Mathematical Society