科研之友
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摘要
Maps that preserve adjacency on the set of all invertible hermitian matrices over a finite field are characterized. It is shown that such maps form a group that is generated by the maps A bar right arrow PAP*, A bar right arrow A(sigma), and A bar right arrow A(-1), where P is an invertible matrix, P* is its conjugate transpose, and a is an automorphism of the underlying field. Bijectivity of maps is not an assumption but a conclusion. Moreover, adjacency is assumed to be preserved in one direction only.
- 出版日期2016-6-15
