On the probability of generating a minimal d-generated group

On the probability of generating a minimal d-generated group
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关于生成最小 d 生成群的概率

DOI:
10.1017/s1446788700002822
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发表时间:
2001
影响因子:
0.7
通讯作者:
F. Morini
F. Morini
中科院分区:
数学3区
文献类型:
--
作者:
F. Volta;A. Lucchini;F. Morini

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我们考虑具有这样性质的有限群:任何真因子都可以由比群本身更少的元素生成。我们研究了与生成给定元素个数的群的概率有关的一些问题。
Abstract We consider finite groups with the property that any proper factor can be generated by a smaller number of elements than the group itself. We study some problems related with the probability of generating these groups with a given number of elements.