# Fusion systems on $$p$$-groups with an extraspecial subgroup of index $$p$$

Moragues Moncho, Raul (2019). Fusion systems on $$p$$-groups with an extraspecial subgroup of index $$p$$. University of Birmingham. Ph.D.

## Abstract

In this thesis we classify saturated fusion systems on $$p$$-groups $$S$$ containing an extraspecial subgroup of index $$p$$ for an arbitrary odd prime $$p$$. We prove that if $$F$$ is a saturated fusion system on $$S$$ with $$O_p(F)$$ = 1 then either $$|S|\leq p^6$$ or $$S$$ is isomorphic to a unique group of order $$p^{p-1}$$

Type of Work: Thesis (Doctorates > Ph.D.)
Award Type: Doctorates > Ph.D.
Supervisor(s):
Supervisor(s)EmailORCID
Parker, ChristopherUNSPECIFIEDUNSPECIFIED
Craven, DavidUNSPECIFIEDUNSPECIFIED
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Mathematics
Funders: Other
Other Funders: University of Birmingham
Subjects: Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/8790

### Actions

 Request a Correction View Item