| 林毓材.变换群性质的判定问题(英文)[J].数学研究及应用,1985,5(4):97~100 |
| 变换群性质的判定问题(英文) |
| The Decision Problems for Properties of Transformation Groups |
| 投稿时间：1983-11-05 |
| DOI：10.3770/j.issn:1000-341X.1985.04.022 |
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| In this paper the fundamental result about the decision problems for properties-of FRT-groups (i. e. the groups each of which is isomorphic with a group generated by a finite number of recursive transformations) has been proved: Let p be any algebraic property for groups such that there is a FRT -group G1 which has the property p, a FRT-group G2 which has not the property p, and G2 is not isomorphic with any subgroup of any FRT-group which has the property p. Then the problem of deciding, for any given groap P genetated by a finite number of recursive transformations, whether or not the group G isomorphic with P has the property p is unsolvable. |
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