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Residual finiteness of outer automorphism groups of certain 1-relator groups 被引量:2

Residual finiteness of outer automorphism groups of certain 1-relator groups
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摘要 We prove that certain 1-relator groups have Property E. Using this fact, we characterize all conjugacy separable 1-relator groups of the form a,b;(a-αbβaαbγ)t , t 1, having residually finite outer automorphism groups. We prove that certain 1-relator groups have Property E. Using this fact, we characterize all conjugacy separable 1-relator groups of the form 〈a, b; (a -α b β a α b γ) t 〉, t ? 1, having residually finite outer automorphism groups.
出处 《Science China Mathematics》 SCIE 2009年第2期287-292,共6页 中国科学:数学(英文版)
基金 supported by Korean Research Foundation funded by the Korean Government (Grant No. KRF-2007-313-C00015) The second author was supported by Natural Science and Engineering Research Council of Canada (Grant No. A-4064)
关键词 outer AUTOMORPHISM GROUPS 1-relator GROUPS residually FINITE CONJUGACY SEPARABLE outer automorphism groups 1-relator groups residually finite conjugacy separable 20E26 20E06 20F28
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