Irreducible Characters of SL(k,Z/p^nZ)

• Author / Creator

  Pasanen, Trevor

• In this paper we find irreducible characters of
  G=SL(k,Z/p^nZ) where n >= 2, k=2,3 and, p is an odd prime. In the case k=2 we give a construction for every irreducible character of G without calculating the character values. Our method is based on finding a normal subgroup of G and applying Clifford theory.

• Subjects / Keywords

  • Characters
  • Irreducible
  • Group

• Graduation date

  Fall 2009

• Type of Item

  Thesis

• Degree

  Masters of Science

• DOI

  https://doi.org/10.7939/R3HK9S

• License

  This thesis is made available by the University of Alberta Libraries with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.