References
- Anderson, G., Humphries, S. P., Nicholson, N. (2021). Strong Gelfand pairs of symmetric groups. J. Algebra Appl. 20(4):Paper No. 2150054, 22 pp. DOI: 10.1142/S0219498821500547.
- Burton, A., Humphries, S. Strong Gelfand Pairs of SL(2,p). J. Algebra Appl. DOI: 10.1142/S0219498823501335.
- Ceccherini-Silberstein, T., Scarabotti, F., Tolli, F. (2008). Harmonic Analysis on Finite Groups. In: Representation Theory, Gelfand Pairs and Markov Chains, Vol. 108. Cambridge Studies in Advanced Mathematics. Cambridge: Cambridge University Press, xiv + 440 pp.
- Dennis, T. (1974). Spherical functions on finite groups. J. Algebra 29:65–76.
- Dornhoff, L. (1971) Group Representation Theory. Part A: Ordinary Representation Theory. Pure and Applied Mathematics. Vol. 7. New York: Marcel Dekker, Inc., pp. vii + 254.
- Flicker, Y. Z. (2019). Conjugacy classes of finite subgroups of SL(2,F),SL(3,F¯). J. Théorie des Nombres de Bordeaux 31(3):555–571.
- Humphries, S., Kennedy, C., Rode, E. (2015). The total character of a finite group. Algebra Colloq. 22(Special Issue no. 1):775–778. (Reviewer: Silvio Dolfi) DOI: 10.1142/S100538671500067X.
- James, G., Liebeck, M. (2001). Representations and Characters of Groups, 2nd ed. Cambridge: Cambridge University Press.
- Karlof, J. (1975). The subclass algebra associated with a finite group and subgroup. Amer. Math. Soc. 207:329–341. DOI: 10.2307/1997180.
- Prajapati, S. K.; Sarma, R. (2016). Total character of a group G with (G,Z(G)) as a generalized Camina pair. Can. Math. Bull. 59(2):392–402.
- Prajapati, S. K., Sury, B. (2014). On the total character of finite groups. Int. J. Group Theory 3(3):47–67.
- Steinberg, R. (1951). The Representations of GL(3,q),GL(4,q),PGL(3,q), and PGL(4,q). Can. J. Math. 3:225–235.
- Suzuki, M. (1982). Group Theory I, 1st ed. Berlin; Heidelberg: Springer-Verlag.
- Bosma, W., Cannon, J., Playoust, C. (1997). The Magma algebra system. I. The user language. J. Symbolic Comput. 24:235–265. DOI: 10.1006/jsco.1996.0125.
- Wikipedia contributors. (2021). “Gelfand pair.” Wikipedia, The Free Encyclopedia, 25 May 2021.