Self homotopy groups with large nilpotency classes |
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| Authors: | Hiroaki Hamanaka Akira Kono |
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| Affiliation: | a Department of Natural Science, Hyogo University of Teacher Education, Yashiro, Hyogo 673-1494, Japan
b Department of Mathematics, Kyoto University, Kyoto 606-8502, Japan |
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| Abstract: | We demonstrate that for any n>0 there exists a compact connected Lie group G such that the self homotopy group [G,G] has the nilpotency class greater than n, where [G,G] is a nilpotent group for a compact connected Lie group G. |
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| Keywords: | 55Q05 57T10 |
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