Title of article :
SOLOMON’S ZETA FUNCTION OF Bp(Cp3 )
Author/Authors :
Ramırez-Contreras, Juan Manuel Posgrado en Matematicas - Facultad de Ciencias Fısico Matematicas - Benem´erita Universidad Aut´onoma de Puebla, Mexic , Villa-Hernandez, David Facultad de Ciencias Fısico Matematicas - Benemerita Universidad Autonoma de Puebla, Mexic
Abstract :
In 1977, Solomon L. introduced a zeta function for orders for which
all ideals of finite index must be known. This work follows our previous research [Zeta functions of Burnside rings of groups of order p and p
2
, Comm.
Algebra, 37(2009), 1758-1786], where we found the zeta function of the Burnside Ring for cyclic groups of prime order p and p
2
, respectively. The main
objective of this paper is to obtain all ideals of finite index in Bp(Cp3 ) in order
to determine ζBp(Cp3 )
(s) the zeta function of the Burnside Ring for a cyclic
group of order p
3
.
Keywords :
Burnside rings , zeta functions , fiber product
Journal title :
International Electronic Journal of Algebra
