×

Notes on conjugacy classes of finite groups. (English) Zbl 1481.20106

Summary: We use elementary finite group theory to give direct and short proofs related to the results of conjugacy classes of finite groups.

MSC:

20E45 Conjugacy classes for groups
Full Text: DOI

References:

[1] Camina, A. R.; Camina, R. D., The influence of conjugacy class sizes on the structure of finite groups: a survey, Asian-European Journal of Mathematics, 4, 559-588 (2011) · Zbl 1257.20030 · doi:10.1142/S1793557111000459
[2] Chen, Y.; Chen, G., A lower bound of conjugacy class length of symmetric group, Journal of Discrete Mathematical Sciences and Cryptography, 17, 29-38 (2014) · Zbl 1352.20002 · doi:10.1080/09720529.2013.867638
[3] Gumber, D.; Kalra, H., The conjugacy class number k(G): a different perspective, Comm. Algebra, 43, 4836-4838 (2015) · Zbl 1327.20035 · doi:10.1080/00927872.2014.953406
[4] Herzog, M., Conjugacy classes in finite groups, Rend. Sem. Mat. Fis. Milano, 60, 9-14 (1990) · Zbl 0836.20023
[5] Huppert, B., Character Theory of Finite Groups (1998), Berlin: Walter de Gruyter, Berlin · Zbl 0932.20007
[6] Isaacs, I. M., Character Theory of Finite Groups (1976), New York: Academic Press, New York · Zbl 0337.20005
[7] Kalra, H.; Gumber, D., A note on conjugacy classes of finite groups, Proc. Indian Acad. Sci.(Math. Sci, 124, 31-36 (2014) · Zbl 1298.20041 · doi:10.1007/s12044-013-0161-4
[8] Mann, A., Conjugacy classes in finite groups, Isr. J. Math, 31, 78-84 (1978) · Zbl 0771.20011 · doi:10.1007/BF02761381
[9] Pientka, G., A characterization of the alternating group by its conjugacy class lengths, Beitr. Algebra Geom, 53, 273-280 (2012) · Zbl 1237.20015 · doi:10.1007/s13366-011-0042-x
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.