Very Exceptional Group

Xiao Yu Liang; Xin Zhang

doi:10.4028/www.scientific.net/AMR.1006-1007.1071

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1006-1007Very Exceptional Group

Very Exceptional Group

Abstract:

A finite group is called exceptional if for a Galois extension of number fields with the Galois groups , the zeta function of between and does not appear in the Brauer-Kuroda relation of the Dedekind zeta functions. Furthermore, a finite group is called very exceptional if its nontrivial subgroups are all exceptional. In this paper，a Nilpotent group is very exceptional if and only if it has a unique subgroup of prime order for each divisor of .

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Periodical:

Advanced Materials Research (Volumes 1006-1007)

Pages:

1071-1075

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1006-1007.1071

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Online since:

August 2014

Authors:

Xiao Yu Liang, Xin Zhang

Keywords:

Brauer-Kuroda Relation, Exceptional Group, Solvable, Very Exceptional Group

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References

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