Nilpotent subgroups of the group of self-homotopy equivalences |
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Authors: | Ken-Ichi Maruyama Mamoru Mimura |
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Institution: | (1) Department of Mathematics, Faculty of Education, Chiba University, Yayoicho Chiba, Japan;(2) Mathematical Sciences Research Institute, Berkeley, California, USA;(3) Department of Mathematics, Faculty of Science, Okayama University, Okayama, Japan |
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Abstract: | In this paper, we study subgroups of self-homotopy equivalences associated to generalized homology theories. We generalize
Dror-Zabrodsky’s nilpotency theorem on the group of self-homotopy equivalences.
Dedicated to Professor Akio Hattori on his sixtieth birthday
The first-named author was partially supported by Grant-in-Aid for the Science Research of the Ministry of Education, 02740012. |
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