SUBGROUP SEPARABILITY OF GRAPHS OF FREE GROUPS WITH CYCLIC EDGE GROUPS

SUBGROUP SEPARABILITY OF GRAPHS OF FREE GROUPS WITH CYCLIC EDGE GROUPS
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DOI:
10.1093/qmathj/50.1.107
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发表时间:
2000-03
影响因子:
0.7
通讯作者:
D. Wise
D. Wise
中科院分区:
数学3区
文献类型:
--
作者:
D. Wise

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证明了具有循环边群的自由群有限图的Jrl是子群可分的,除非Jrl有一个非平凡元素g使得gn“Vgm,其中ni = ±m.从表象中很容易判断这种共轭性是否存在。
It is shown that Jrl of a finite graph of free groups with cyclic edge groups is subgroup separable unless Jrl has a non-trivial element g such that gn "V gm with n i= ±m. It is easy to decide from the presentation if such a conjugacy exists.