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Nilpotent subgroups of the group of self-homotopy equivalences
Authors:Ken-Ichi Maruyama  Mamoru Mimura
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
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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