| 自由群的直积的检验元素的注记 |
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| 引用本文： | 潘江敏,马丽,罗森月.自由群的直积的检验元素的注记[J].数学杂志,2008,28(2):137-140. |
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| 作者姓名： | 潘江敏 马丽 罗森月 |
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| 作者单位： | 云南大学,数学系,云南,昆明,650091 |
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| 摘 要： | 本文研究了自由群的直积的检验元素,通过对直积的自同态的分解,得到了直积中的元素为检验元素的充分必要条件,改进了O'neill和Turner的结果.此外,构造了两类具体的检验元素.
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| 关 键 词： | 自由群 检验元素 独立集 free group test element independent set 自由群 检验元素 注记 GROUPS FREE PRODUCTS DIRECT ELEMENTS TEST construct explicit classes result subject sufficient condition test element endomorphism direct product study elements |
| 文章编号： | 0255-7797（2008）02-0137-04 |
| 收稿时间： | 2005-06-15 |
| 修稿时间： | 2006-04-19 |
NOTES ON TEST ELEMENTS IN DIRECT PRODUCTS OF FREE GROUPS |
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| PAN Jiang-min,MA Li,LUO Sen-yue.NOTES ON TEST ELEMENTS IN DIRECT PRODUCTS OF FREE GROUPS[J].Journal of Mathematics,2008,28(2):137-140. |
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| Authors: | PAN Jiang-min MA Li LUO Sen-yue |
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| Abstract: | In this paper,we study test elements in direct products of free groups.By decomposing endomorphism of the direct product,we obtain a necessary and sufficient condition for an element to be a test element in the direct products.This develops the O'neill and Turner's result on the subject.Moreover,we construct two explicit classes of test elements. |
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| Keywords: | free group test element independent set |
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