The normalizer property of integral group rings of semidirect products of finite 2-closed groups by rational groups

ABSTRACT

Let G = N⋊Q be a semidirect product of a finite 2-closed group N by a rational group Q. It is shown that under some conditions the normalizer property holds for G.

KEYWORDS:

• Integral group rings
• rational groups
• the normalizer property

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 20C05
• 16S34
• 20C10

Acknowledgments

The authors would like to thank the referees for useful and insightful comments and suggestions.