Finite Groups with Two Class Sizes of Some Elements

Chitkara OAJ

March 3, 2014

Author(s):

Qingjun Kong, Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, People’s Republic of China

DOI:

https://doi.org/10.15415/mjis.2014.22015

Keywords:

conjugacy class sizes, nilpotent groups, finite groups. MSC: 20D10; 20D20

References:

Alemany, E., Beltrán, A. and Felipe, M.J. (2009). Finite groups with two p-regular conjugacy class lengths II. Bull.Austral.Math.Soc.79, 419-425. http://dx.doi.org/10.1017/S0004972708001287

Baer, R. (1953). Group elements of prime power index. Trans.Amer.Math.Soc. 75, 20-47. http://dx.doi.org/10.1090/S0002-9947-1953-0055340-0

Beltrán, A. and Felipe, M.J. (2003). The finite group with two p-regular conjugacy class lengths. Bull.Austral.Math.Soc. 67, 163-169. http://dx.doi.org/10.1017/S000497270003361X

Itô, N. (1953). On finite groups with given conjugate types I. Nagoya Math. 6, 17-28.

Robinson, D. J. S. (1980). A Course in the Theory of Groups (Spring-verlag, New York-Heidelberg-Berlin).

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