3 research outputs found

    Fusion systems on bicyclic 2-groups

    Full text link
    We classify all (saturated) fusion systems on bicyclic 2-groups. Here, a bicyclic group is a product of two cyclic subgroups. This extends previous work on fusion systems on metacyclic 2-groups (see [Craven-Glesser, 2012] and [Sambale, 2012]). As an application we prove Olsson's Conjecture for all blocks with bicyclic defect groups.Comment: 22 pages, shorted and some arguments replace

    2-Groups that factorise as products of cyclic groups, and regular embeddings of complete bipartite graphs

    No full text
    corecore