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Irreducible projective characters of wreath products


Authors: Xiaoli Hu and Naihuan Jing
Journal: Proc. Amer. Math. Soc. 143 (2015), 1015-1026
MSC (2010): Primary 20C25; Secondary 20C30, 20E22
DOI: https://doi.org/10.1090/S0002-9939-2014-12343-4
Published electronically: November 3, 2014
MathSciNet review: 3293719
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Abstract: The irreducible character values of the spin wreath products $ \widetilde {\Gamma }_n=\Gamma \wr \widetilde {S}_n$ of the symmetric group and a finite group $ \Gamma $ are completely determined for arbitrary $ \Gamma $.


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Additional Information

Xiaoli Hu
Affiliation: School of Mathematics and Computer Science, Jianghan University, Wuhan 430056, People’s Republic of China
Email: xiaolihumath@163.com

Naihuan Jing
Affiliation: Department of Mathematics, North Carolina State University, Raleigh, North Carolina 27695
Email: jing@math.ncsu.edu

DOI: https://doi.org/10.1090/S0002-9939-2014-12343-4
Keywords: Wreath products, spin groups, projective characters
Received by editor(s): February 1, 2013
Received by editor(s) in revised form: June 3, 2013, June 4, 2013, and July 9, 2013
Published electronically: November 3, 2014
Communicated by: Pham Huu Tiep
Article copyright: © Copyright 2014 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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