In this note, we provide an independent proof of a known result on conjugacy class sizes of a finite group.
| Published in | International Journal of Theoretical and Applied Mathematics (Volume 10, Issue 4) |
| DOI | 10.11648/j.ijtam.20241004.11 |
| Page(s) | 51-53 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Finite Group, Conjugacy Class Size, Primary Element, Biprimary Element
| [1] | B. Huppert, Character Theory Of Finite Groups, Berlin: Walter der Gruyter, 1998. |
| [2] | R. Baer, Group elements of prime power index, Trans. Amer. Math. Soc. 75(1953). |
| [3] | Y. Berkovich, L. Kazarin, Indices of elements and normal structure of finite groups, J. Algebra 283(2005), 564-583. |
| [4] | D. Chillag and M. Herzog, On the length of the conjugacy classes of finite groups, J. Algebra 131, 110-125 (1990). |
| [5] | B. Huppert, Endlishe Gruppen I, Springer, Berlin, 1967. |
| [6] | I. M. Isaacs, Character theory of finite groups, Academic Press, INC., 1976. |
| [7] | D. Gorenstein, Finite Groups, Harper and Row London / New York, 1968. |
APA Style
Ren, Y. (2025). On a Theorem on the Sizes of Conjugacy Classes of a Finite Group. International Journal of Theoretical and Applied Mathematics, 10(4), 51-53. https://doi.org/10.11648/j.ijtam.20241004.11
ACS Style
Ren, Y. On a Theorem on the Sizes of Conjugacy Classes of a Finite Group. Int. J. Theor. Appl. Math. 2025, 10(4), 51-53. doi: 10.11648/j.ijtam.20241004.11
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Download@article{10.11648/j.ijtam.20241004.11,
author = {Yongcai Ren},
title = {On a Theorem on the Sizes of Conjugacy Classes of a Finite Group},
journal = {International Journal of Theoretical and Applied Mathematics},
volume = {10},
number = {4},
pages = {51-53},
doi = {10.11648/j.ijtam.20241004.11},
url = {https://doi.org/10.11648/j.ijtam.20241004.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20241004.11},
abstract = {In this note, we provide an independent proof of a known result on conjugacy class sizes of a finite group.},
year = {2025}
}
TY - JOUR T1 - On a Theorem on the Sizes of Conjugacy Classes of a Finite Group AU - Yongcai Ren Y1 - 2025/01/13 PY - 2025 N1 - https://doi.org/10.11648/j.ijtam.20241004.11 DO - 10.11648/j.ijtam.20241004.11 T2 - International Journal of Theoretical and Applied Mathematics JF - International Journal of Theoretical and Applied Mathematics JO - International Journal of Theoretical and Applied Mathematics SP - 51 EP - 53 PB - Science Publishing Group SN - 2575-5080 UR - https://doi.org/10.11648/j.ijtam.20241004.11 AB - In this note, we provide an independent proof of a known result on conjugacy class sizes of a finite group. VL - 10 IS - 4 ER -
School of Mathematics, Sichuan University, Chengdu, China
