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- Title
ON H-SPACES AND A CONGRUENCE OF CATALAN NUMBERS.
- Authors
FRIEDMANN, TAMAR; HARPER, JOHN
- Abstract
For p an odd prime and F the cyclic group of order p, we show that the number of conjugacy classes of embeddings of F in SU(p) such that no element of F has 1 as an eigenvalue is (1 + Cp-1)/p, where Cp-1 is a Catalan number. We prove that the only coset space SU(p)/F that admits a p-local H-structure is the classical Lie group PSU(p). We also show that SU(4)/Z3, where Z3 is embedded off the center of SU(4), is a novel example of an H-space, even globally. We apply our results to the study of homotopy classes of maps from BF to BSU(n).
- Subjects
H-spaces; GEOMETRIC congruences; CATALAN numbers; CYCLIC groups; CONJUGACY classes
- Publication
Homology, Homotopy & Applications, 2017, Vol 19, Issue 2, p21
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2017.v19.n2.a2