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| The Isomorphisms of Symplectic Groups over Ф-surjective Rings |
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Citation： |
Zhang Haiquan,Wang Luqun.The Isomorphisms of Symplectic Groups over Ф-surjective Rings[J].Chinese Annals of Mathematics B,1985,6(2):157~170 |
| Page view： 797
Net amount： 794 |
Authors： |
Zhang Haiquan; Wang Luqun |
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| Abstract： |
Let R and R_1 are Ф-surjective rings with 2 as a unit. Then $\Gamma:S_p_n(R)\rightarrowS_p_n1(R_1)$ is a group isomorphism if and only if n=n_i, there exists a ring homomorphism $\sigma:R\rightarrow R_1$ and \Gamma has the standard form $\Gamma X=PX^\sigma P^-1$, for all X in S_P_n(R), where P is a generalized symplectic matrix. |
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