2017/08/31 by Sebastien Palcoux
Mathematics · #math.GR #math.CO #math.RT #msc:20D30 #msc:05E15 #msc:20C15 #msc:06C15
paper · pdf · doi:10.1016/j.jalgebra.2018.03.017
published as Journal of Algebra, 505 (2018), 279-287 · 8 pages. Self-contained and group-theoretic version of arXiv:1704.00745. It contains some preliminaries of arXiv:1604.06765, arXiv:1702.02124. Erratum: in Lemmas 3.7 and 3.8 of the published version, 'finite dimensional' should be 'irreducible' (it is now corrected on arxiv)
arxiv created 2019/03/09 · arxiv updated 2019/03/12
This paper gives a self-contained group-theoretic proof of a dual version of a theorem of Ore on distributive intervals of finite groups. We deduce a bridge between combinatorics and representations in finite group theory.