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

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Abstract

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 \(n\geqslant 2\) and it will be computed for every finite polyhedral group and all of the finite centro-polyhedral groups.

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References

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Acknowledgements

The authors would like to express their deep gratitute to the referee for his invaluable comments and suggestions which improved the paper. The first author would like to thank Yazd Branch, Islamic Azad University for the financial support, which is based on a research project contract.

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Authors and Affiliations

  1. Yazd Branch, Islamic Azad University, Yazd, Iran

    A SADEGHIEH

  2. Department of Mathematics, Tabriz Branch, Islamic Azad University, Tabriz, Iran

    K AHMADIDELIR

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  1. A SADEGHIEH
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  2. K AHMADIDELIR
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Correspondence to K AHMADIDELIR.

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Communicating Editor: Parameswaran Sankaran

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SADEGHIEH, A., AHMADIDELIR, K. n-th Roots in finite polyhedral and centro-polyhedral groups. Proc Math Sci 125, 487–499 (2015). https://doi.org/10.1007/s12044-015-0247-2

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  • DOI: https://doi.org/10.1007/s12044-015-0247-2

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