Calculating and interpreting the Mislin genus of a special class of nilpotent spaces-Reference-Cited by-同舟云学术

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Calculating and interpreting the Mislin genus of a special class of nilpotent spaces

Published:1999-06-17 Issue:11 Volume:127 Page:3433-3438
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Hilton Peter,Scevenels Dirk

Abstract

We prove that there is a bijection between the Mislin genus of a circle bundle over a certain nilpotent base space M M , which is constructed from a nilpotent group N N of a certain specified type, and the Mislin genus of N N itself.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1999-127-11/S0002-9939-99-05202-8/S0002-9939-99-05202-8.pdf

Reference11 articles.

1. Calculating the Mislin genus for a certain family of nilpotent groups;Casacuberta, Carles;Comm. Algebra,1991

2. On the genus of nilpotent groups and spaces;Hilton, Peter;Israel J. Math.,1986

3. On the genus of a nilpotent group with finite commutator subgroup;Hilton, Peter;Math. Z.,1976

4. North-Holland Mathematics Studies, No. 15;Hilton, Peter,1975

5. Calculating the genus of a direct product of certain nilpotent groups;Hilton, Peter;Publ. Mat.,1995

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-cancellation and Mislin genus of certain groups and H0-spaces;Journal of Pure and Applied Algebra;2002-05

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