GROUPS WITH SMALL CONJUGACY CLASSES

Article Sidebar

PDf
Published: Jun 1, 1999
DOI: https://doi.org/10.5556/j.tkjm.30.1999.4215
Keywords:
Conjugacy classes extra special p-groups

Main Article Content

G. A. HOW
School of Mathematical Sciences, University Sains Malaysia, 11800 Pulau Pinang, Malaysia.
F. C. CHUANG
Department of Applied Mathematics, Feng Chia University, Taichung, Taiwan.

Abstract




A group satisfies property (*) iff every conjugacy class has size not greater than 2. This paper proves properties of this type of group and conclude that it is a central product of an abelian group with 2-groups that are "almost" extra special.




Article Details

How to Cite
HOW, G. A., & CHUANG, F. C. (1999). GROUPS WITH SMALL CONJUGACY CLASSES. Tamkang Journal of Mathematics, 30(2), 127–131. https://doi.org/10.5556/j.tkjm.30.1999.4215
Issue
Vol. 30 No. 2 (1999)
Section
Papers
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

References

L. Domhoff, Group Representation Theory, Part A. Marcel Dekker, New York, 1971

G. A. How, Special Classes of Monomial Groups III, Chinese Journal of Mathematics 12 (1984), 199-211.

I. M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, San Fransc1sco London, 1976.

I. M. Isaacs and D. Passman, Groups with Representations of bounded degree, Canad. J. Math. 16 (1964), 299-309.