The Number of Conjugacy Classes and Irreducible Characters in a Finite Group

  • Remigius Okeke Aja Department of Mathematics, College of Physical and Applied Science, Michael Okpara University of Agriculture, Umudike, Nigeria
  • Uchenna Emmanuel Obasi Department of Mathematics, College of Physical and Applied Science, Michael Okpara University of Agriculture, Umudike, Nigeria
  • Everestus Obinwanne Eze Department of Mathematics, College of Physical and Applied Science, Michael Okpara University of Agriculture, Umudike, Nigeria
Keywords: conjugacy classes, irreducible characters, non-abelian group, cycle pattern, cummutator

Abstract

In this paper, number of conjugacy classes and irreducible characters in a non-abelian group of order 26 are investigated using cycle pattern of elements. Through the exploits of commutator and representation of elements as a product of disjoint cycles, the number of conjugacy classes is obtained which extends some results in literature.

Published
2019-06-04
How to Cite
Aja , R. O., Obasi , U. E., & Eze , E. O. (2019). The Number of Conjugacy Classes and Irreducible Characters in a Finite Group. Earthline Journal of Mathematical Sciences, 2(1), 181-190. https://doi.org/10.34198/ejms.2119.181190
Section
Articles