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Some Examples in the Integral and Brown‐Peterson Cohomology of p ‐Groups
Author(s) -
Leary I. J.,
Yagita N.
Publication year - 1992
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/24.2.165
Subject(s) - queen (butterfly) , mathematics , citation , mathematics education , algebra over a field , library science , computer science , pure mathematics , hymenoptera , botany , biology
For each odd prime p, we exhibit p-groups G of p-rank two such that (suitablydefined) Chern classes of unitary representations of G fail to generate thefollowing rings: 1. The even degree integral cohomology of G; 2. The final page of the Atiyah-Hirzebruch spectral sequence for G; 3. The Brown-Peterson generalized cohomology of G. It follows that these groups afford counterexamples to conjectures of C. B.Thomas, M. F. Atiyah and P. Landweber.