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math.GR2012
Fusion systems on bicyclic 2-groups
Benjamin Sambale
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 metacy…
math.RT2012
Brauer's Height Zero Conjecture for metacyclic defect groups
Benjamin Sambale
We prove that Brauer's Height Zero Conjecture holds for p-blocks of finite groups with metacyclic defect groups. If the defect group is nonabelian and contains a cyclic maximal sub…