“School of Mathematics”

Back to Papers Home
Back to Papers of School of Mathematics

Paper   IPM / M / 7744
School of Mathematics
  Title:   An extension of a result of Gauss to finite groups: a linear algebraic approach
  Author(s):  M. R. Pournaki
  Status:   Published
  Journal: Elem. Math.
  Vol.:  61
  Year:  2006
  Pages:   24-31
  Supported by:  IPM
Let n be a positive integer and a be an integer. Gauss proved that ∑d|nμ(n/d)ad ≡ 0 (mod n), where μ is the Mobius function. This result generalizes both Fermat's Little Theorem and Euler's Theorem. In this paper, a generalization of this result to finite groups is proved by methods of (multi-) linear algebra.

Download TeX format
back to top
scroll left or right