Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups
Classification of Sylow classes of parabolic and reflection subgroups in unitary reflection groups
Let ℓ be a prime divisor of the order of a finite unitary reflection group. We classify up to conjugacy the parabolic and reflection subgroups that are minimal with respect to inclusion, subject to containing an ℓ-Sylow subgroup. The classification assists in describing the ℓ-Sylow subgroups of unitary reflection groups …