On the Character Degrees of Suzuki p-Groups of Type A and C

Abstract

In this note, we construct the irreducible characters of Suzuki p-groups of types A _p (m, θ) and C _p (m, θ, ϵ).

Key Words:

• Finite fields
• Irreducible characters
• p-Groups

2010 Mathematics Subject Classification:

• Primary 20C15
• Secondary 20D15

ACKNOWLEDGMENTS

We would like to thank the referee for the corrections and suggestions. As a result, our article has been improved clearly.

Notes

where 𝔻: = {u ∈ 𝔽 _{p ^m} : θ(u) = −u}.

Communicated by P. Tiep.