| AUTOMORPHISMS OF PSL_2~±(K) OVER ANY SKEW FIELD K |
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| 引用本文： | 任宏硕,万哲先.AUTOMORPHISMS OF PSL_2~±(K) OVER ANY SKEW FIELD K[J].数学学报,1982,25(4):484-492. |
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| 作者姓名： | 任宏硕 万哲先 |
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| 作者单位： | Institute of Mathematics，Academia Sinica，Institute of Mathematics，Academia Sinica Instiute for Advanced study，Princeton，NJ. |
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| 摘 要： | <正> Let K be a skew field and Z its center.The multiplicative groups of non-zero elementsof K and Z are denoted respectively by K~* and Z~*.Denote by GL_2(K)the group of all2×2 invertible matrices over K,by SL_2(K)the group generated by all elementary transve-ctions (?) and (?)λ,μ∈K and by SL_2~±(K)the group generated by all invo-lutions in GL_2(K).We know that if -1 belongs to the commutator subgroup of K~*,thenSL_2~±(K)=SL_2(K);otherwise,SL_2~±(K)can be obtained from SL_2(K)by adjoining anyinvolution to SL_2(K) (cf.2],p.62).Denote the factor group of GL_2(K)and SL_2~±(K)modulo their centers respectively by PGL_2(K)and PSL_2~±(K).Of course,PSL_2~±(K)can be
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| 收稿时间： | 1980-9-3 |
AUTOMORPHISMS OF PSL_2~±(K) OVER ANY SKEW FIELD K |
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| Institution: | Ren Hongshuo Wan Zhexian (Institute of Mathematics,Academia Sinica) |
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