activity
20032023
most citedConstruction of 2-local finite groups of a type studied by Solomon and Benson

40 citations · 159 across the 22 of their papers we have counts for

collaborators

22 papers

math.GR2023★ 1 cited

Construction of 2-local finite groups of a type studied by Solomon and Benson: Correction

Bob Oliver

We correct an error in Lemma 3.1 of my paper coauthored with Ran Levi on the Benson-Solomon fusion systems, and show that the change does not affect any of the other results in tha…

math.GR2022

Nonrealizability of certain representations in fusion systems

Bob Oliver

For a finite abelian -group and a subgroup , we say that the pair is fusion realizable if there is a saturated fusion system over a…

math.GR2022★ 1 cited

Fusion systems realizing certain Todd modules

Bob Oliver

We study a certain family of simple fusion systems over finite -groups, ones that involve Todd modules of the Mathieu groups , , and over $\ma…

math.GR2021

Normalizers of sets of components in fusion systems

Bob Oliver

We describe some new ways to construct saturated fusion subsystems, including, as a special case, the normalizer of a set of components of the ambient fusion system. This was motiv…

math.GR2021★ 2 cited

Correction to: Reductions to simple fusion systems

Bob Oliver

We fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

math.GR2021

A Krull-Remak-Schmidt theorem for fusion systems

Bob Oliver

We prove that the factorization of a saturated fusion system over a discrete -toral group as a product of indecomposable subsystems is unique up to normal automorphisms of the f…