Units in group rings of crystallographic groups

• Autorzy: Karel Dekimpe
• Języki publikacji: EN

Abstrakty

EN

In [3], the authors initiated a technique of using affine representations to study the groups of units of integral group rings of crystallographic groups. In this paper, we use this approach for some special classes of crystallographic groups. For a first class of groups we obtain a normal complement for the group inside the group of normalized units. For a second class of groups we show that the Zassenhaus conjectures ZC1 and ZC3 are valid. This generalizes the results known for the infinite dihedral group.

Kategorie tematyczne

• 20C07: Group rings of infinite groups and their modules
• 16S34: Group rings , Laurent polynomial rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 179
• Numer: 2
• Strony: 169-178

Daty

wydano

2003

Twórcy

autor

Karel Dekimpe

• Katholieke Universiteit Leuven, Campus Kortrijk, B-8500 Kortrijk, Belgium

Identyfikatory

DOI

10.4064/fm179-2-4