Reduced fusion systems over p-groups with abelian subgroup of index p: III

4Citations
Citations of this article
N/AReaders
Mendeley users who have this article in their library.
Get full text

Abstract

We finish the classification, begun in two earlier papers, of all simple fusion systems over finite nonabelian p-groups with an abelian subgroup of index p. In particular, this gives many new examples illustrating the enormous variety of exotic examples that can arise. In addition, we classify all simple fusion systems over infinite nonabelian discrete p-toral groups with an abelian subgroup of index p. In all of these cases (finite or infinite), we reduce the problem to one of listing all pG-modules (for G finite) satisfying certain conditions: a problem which was solved in the earlier paper [15] using the classification of finite simple groups.

Cite

CITATION STYLE

APA

Oliver, B., & Ruiz, A. (2020). Reduced fusion systems over p-groups with abelian subgroup of index p: III. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 150(3), 1187–1239. https://doi.org/10.1017/prm.2018.107

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free