Groups with a nontrivial nonideal kernel
Group Theory
2019-05-22 v4 Representation Theory
Abstract
We classify finite groups , such that the group algebra, (over the field of rational numbers ), is the direct product of the group algebra of a proper factor group , and some division rings.
Cite
@article{arxiv.1608.00231,
title = {Groups with a nontrivial nonideal kernel},
author = {Frieder Ladisch},
journal= {arXiv preprint arXiv:1608.00231},
year = {2019}
}
Comments
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