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Reflection subgroups of finite and affine Weyl groups
M. J. Dyer, G. I. Lehrer
We discuss the classification of reflection subgroups of finite and affine Weyl groups from the point of view of their root systems. A short case free proof is given of the well kn…
Magma Proof of Strict Inequalities for Minimal Degrees of Finite Groups
Scott H. Murray, Neil Saunders
The minimal faithful permutation degree of a finite group , denote by is the least non-negative integer such that embeds inside the symmetric group $\Sym(n)$. In…
The Minimal Degree for a Class of Finite Complex Reflection Groups
Neil Saunders
We calculate the minimal degree for a class of finite complex reflection groups , for and primes and establish relationships between minimal degrees when these gr…
The space of unipotently supported class functions on a finite reductive group
F. Digne, G. Lehrer, J. Michel
We determine the Lusztig restrictions on the space of class functions with a unipotent support on a finite reductive group. In particular we give a simple expression for the Luszti…