Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 3: 497 - 512

DOI: https://doi.org/10.1007/s11464-012-0181-x

RESEARCH ARTICLE

Bijective maps on standard Borel subgroup of symplectic group preserving commutators

  • Shikun OU
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  • Faculty of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China

Received date: 13 Jun 2011

Accepted date: 09 Nov 2011

Published date: 01 Jun 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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 ϕ:G→G satisfying ϕ[x,y]=[ϕ(x),ϕ(y)].

Key words： Preserver map; map preserver commutators; matrix group

Cite this article

Shikun OU . Bijective maps on standard Borel subgroup of symplectic group preserving commutators[J]. Frontiers of Mathematics in China, 2012 , 7(3) : 497 -512 . DOI: 10.1007/s11464-012-0181-x

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