SOLOMON’S ZETA FUNCTION OF Bp(Cp3 )

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International Electronic Journal of Algebra
Volume:20 Issue:20
SOLOMON’S ZETA FUNCTION OF Bp(Cp3 )

SOLOMON’S ZETA FUNCTION OF Bp(Cp3 )

Authors : Juan Manuel RamirezContreras, David VillaHernandez

Pages : 1-27

Doi:10.24330/ieja.266181

View : 22 | Download : 12

Publication Date : 2016-12-01

Article Type : Research Paper

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 p2, Comm. Algebra, 37insert ignore into journalissuearticles values(2009);, 1758-1786], where we found the zeta function of the Burnside Ring for cyclic groups of prime order p and p2, respectively. The main objective of this paper is to obtain all ideals of finite index in Bpinsert ignore into journalissuearticles values(Cp3 ); in order to determine ζBpinsert ignore into journalissuearticles values(Cp3 ); insert ignore into journalissuearticles values(s); the zeta function of the Burnside Ring for a cyclic group of order p3..
Keywords : Burnside rings, zeta functions, fiber product

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