n-th Roots in finite polyhedral and centro-polyhedral groups

作者：Sadeghieh A; Ahmadidelir K^*

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2015, 125(4): 487-499.

DOI：10.1007/s12044-015-0247-2

• Probability in finite groups
• roots of elements
• polyhedral groups
• centro-polyhedral groups

The probability that a randomly chosen element in a non-abelian finite group has a square root, has been investigated by certain authors in recent years. In this paper, this probability will be generalized for the n-th roots when n >= 2 and it will be computed for every finite polyhedral group and all of the finite centro-polyhedral groups.

• 出版日期2015-11