Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Fixed point properties of nilpotent group actions on 1-arcwise connected continua

Authors: Enhui Shi and Binyong Sun
Journal: Proc. Amer. Math. Soc. 137 (2009), 771-775
MSC (2000): Primary 54F50; Secondary 54H25
Published electronically: September 10, 2008
MathSciNet review: 2448600
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Abstract: We show that every continuous action of a nilpotent group on a 1-arcwise connected continuum has at least one fixed point.

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Additional Information

Enhui Shi
Affiliation: Mathematics and Sciences College, Suzhou University, Suzhou 215006, People’sRepublic of China

Binyong Sun
Affiliation: Institute of Mathematics, Academy of Mathematics and System Science, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China

Received by editor(s): September 4, 2007
Received by editor(s) in revised form: February 5, 2008
Published electronically: September 10, 2008
Additional Notes: The first author is supported by the Natural Sciences Fund for Colleges and Universities in Jiangsu Province (No. 08KJB110010)
The second author is supported by the Knowledge Innovation Program of the Chinese Academy of Sciences
Communicated by: Alexander N. Dranishnikov
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.