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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

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Front Math Chin    2012, Vol. 7 Issue (3) : 497-512    https://doi.org/10.1007/s11464-012-0181-x
RESEARCH ARTICLE
Bijective maps on standard Borel subgroup of symplectic group preserving commutators
Shikun OU()
Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China
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Abstract

Let F be a field, and let G be the standard Borel subgroup of the symplectic group Sp(2m, F). In this paper, we characterize the bijective maps ?:GG satisfying ?[x,y]=[?(x),?(y)].

Keywords Preserver map      map preserver commutators      matrix group     
Corresponding Author(s): OU Shikun,Email:ok6096@126.com   
Issue Date: 01 June 2012
 Cite this article:   
Shikun OU. Bijective maps on standard Borel subgroup of symplectic group preserving commutators[J]. Front Math Chin, 2012, 7(3): 497-512.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0181-x
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I3/497
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