Rank p − 1 mod-p H-spaces

Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p -local H -spaces of rank l < p − 1. The first construction goes through when l = p − 1 and we show the second does as well. However, the space produced need not be an H -space. We gi...

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Published inIsrael journal of mathematics Vol. 194; no. 2; pp. 641 - 688
Main Authors Grbić, Jelena, Harper, John, Mimura, Mamoru, Theriault, Stephen, Wu, Jie
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.03.2013
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Abstract Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p -local H -spaces of rank l < p − 1. The first construction goes through when l = p − 1 and we show the second does as well. However, the space produced need not be an H -space. We give a criterion for when an H -space is obtained. In the special case of rank 2 mod-3 H -spaces, we also give a practical test for when the criterion holds, and use this to give many new examples of finite H -spaces.
AbstractList Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p -local H -spaces of rank l < p − 1. The first construction goes through when l = p − 1 and we show the second does as well. However, the space produced need not be an H -space. We give a criterion for when an H -space is obtained. In the special case of rank 2 mod-3 H -spaces, we also give a practical test for when the criterion holds, and use this to give many new examples of finite H -spaces.
Author Harper, John
Mimura, Mamoru
Theriault, Stephen
Wu, Jie
Grbić, Jelena
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  organization: Department of Mathematics, National University of Singapore
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CitedBy_id crossref_primary_10_1016_j_topol_2012_12_008
crossref_primary_10_2140_agt_2017_17_2125
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Cites_doi 10.1007/BF02760533
10.1017/S0305004100061971
10.2307/2007107
10.1007/BF02566956
10.1007/BF01404323
10.1007/s11856-010-0068-z
10.1016/0040-9383(88)90011-0
10.1090/S0894-0347-08-00623-1
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10.1016/0040-9383(79)90025-9
10.1007/s00209-005-0909-3
10.4153/CJM-1979-107-2
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Mimura (CR16) 1975
Selick, Wu (CR18) 2006; 256
Harper (CR10) 1982
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Ganea (CR6) 1969; 9
CR17
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Cooke, Harper, Zabrodsky (CR4) 1979; 18
Cohen, Neisendorfer (CR3) 1984
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T. Ganea (85_CR6) 1969; 9
J. Harper (85_CR12) 2010; 5
I. M. James (85_CR14) 1955; 62
K. Andersen (85_CR2) 2008; 167
M. Mather (85_CR15) 1976; 28
K. Andersen (85_CR1) 2009; 22
J. Wu (85_CR20) 2010; 178
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B. Gray (85_CR7) 1984; 96
T. Ganea (85_CR5) 1965; 39
P. Selick (85_CR18) 2006; 256
N. Hagelgans (85_CR9) 1979; 31
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Y. Hemmi (85_CR13) 2002
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  ident: 85_CR10
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Snippet Different constructions by Cooke, Harper and Zabrodsky and by Cohen and Neisendorfer produce torsion free finite p -local H -spaces of rank l < p − 1. The...
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SubjectTerms Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Title Rank p − 1 mod-p H-spaces
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