Groups with a nontrivial nonideal kernel

Abstract

We classify finite groups $G$, such that the group algebra, $\mathbb{Q}G$ (over the field of rational numbers $\mathbb{Q}$), is the direct product of the group algebra $\mathbb{Q}[G/N]$ of a proper factor group $G/N$, and some division rings.

23 pages, pdfLatex + bibLatex. v4: Numeration in Sections 5-6 changed, new Theorem 6.1 handling "if" direction of Theorem D. Other small changes, referee comments handled. v3: One reference added. v2: Statements of Lemma C and 6.11 amended for easier reference, otherwise unchanged

References in corpus (2)

• Affine Symmetries of Orbit Polytopes
• Classification of Affine Symmetry Groups of Orbit Polytopes

Cited by in corpus (1)

• Classification of Affine Symmetry Groups of Orbit Polytopes