A Family of fusion systems related to the groups Sp₄(p^a) and G₂(p^a)

2014/09/17 by Christopher Parker, Parker, Christopher, Gernot Stroth +1
Mathematics · Computer Science · #Finite Group Theory Research #Advanced Algebra and Geometry #Coding theory and cryptography

paper · pdf · doi:10.48550/arxiv.1409.5102

Abstract

A family of exotic fusion systems generalizing the group fusion systems on Sylow p-subgroups of G₂(p^a) and Sp₄(p^a) is constructed.

Related

• Fusion Systems on a Sylow p-subgroup of G₂(pⁿ) or PSU₄(pⁿ)
• Fusion systems over a Sylow p-subgroup of G₂(p)
• Fusion systems related to polynomial representations of SL₂(q)
• Realising fusion systems
• Proving a conjecture for fusion systems on a class of groups