Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (1): 80-85.

• Articles • Previous Articles     Next Articles

H-Exponent of the Homogeneous Space SU(2n)/Sp(n)

 ZHAO Hao, YU Hai-Bo*, SHEN Wen-Huai   

  1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631
  • Received:2012-09-17 Revised:2013-07-06 Online:2014-02-25 Published:2014-02-25
  • Contact: YU Hai-Bo,yuhaibo@scnu.edu.cn E-mail:zhaohao@scnu.edu.cn; yuhaibo@scnu.edu.cn; shenn@scnu.edu.cn
  • Supported by:

    国家自然科学基金青年基金项目(11101161)、教育部博士点基金新教师类项目(20114407120011)和广东省自然科学基金博士启动项目(S2012040007844)资助.

Abstract:

Let p be a prime greater than 3. Under certain dimensional restriction we obtain an upper bound for the p-primary
H-homotopy exponent of the homogeneous space SU(2n)/Sp(n) by decomposing it as the product of some homotopy associative, homotopy commutatice H-spaces.

Key words: H-homotopy exponent, H-space, Homogeneous space

CLC Number: 

  • 55P45
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