| 无限可解群的强剩余有限性 |
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| 引用本文： | 刘合国. 无限可解群的强剩余有限性[J]. 数学年刊A辑(中文版), 2002, 0(3) |
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| 作者姓名： | 刘合国 |
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| 作者单位： | 湖北大学数学系 武汉 |
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| 基金项目： | 国家自然科学青年基金资助的项目. |
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| 摘 要： | 本文讨论了无限可解群的强剩余有限性,证明了一个 0-群G是强剩余有限的当且仅当G的谱Sp（G）是个空集.这包含了Malcev关于多重循环群的一项有名工作.
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| 关 键 词： | 无限可解群 谱 中心 强剩余有限性 |
THE STRONGLY RESIDUALLY-FINITE PROPERTIES OF SOME INFINITE SOLUBLE GROUPS |
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| LIU Heguo. THE STRONGLY RESIDUALLY-FINITE PROPERTIES OF SOME INFINITE SOLUBLE GROUPS[J]. Chinese Annals of Mathematics, 2002, 0(3) |
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| Authors: | LIU Heguo |
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| Affiliation: | LIU Heguo Department of Mathematics,Hubei University,Wuhan 430062,China. |
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| Abstract: | In this paper, it is proved that an 0-group G is strongly residually-finite if and only if the spectrul Sp(G) of G is empty. This result is a generalization of a theorem of Malcev on polycylic groups. |
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| Keywords: | Infinite soluble group Spectrul Center Strongly residually-finite property |
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