Free normal complements and the unit group of integral group rings

Author:

Jespers Eric

Abstract

It is shown that there are only four finite groups G with the property that G has a nonabelian free normal complement in the unit group of the integral group ZG.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

1. Finite groups with isomorphic group algebras;Coleman, D. B.;Trans. Amer. Math. Soc.,1962

2. On the representation of -1 as a sum of two squares in an algebraic number field;Fein, Burton;J. Number Theory,1971

3. American Mathematical Society Colloquium Publications, Vol. 37;Jacobson, Nathan,1964

4. Describing units of integral group rings of some 2-groups;Jespers, Eric;Comm. Algebra,1991

5. Generators of large subgroups of the unit group of integral group rings;Jespers, Eric;Manuscripta Math.,1993

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