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The BMR freeness conjecture for the 2-reflection groups. (English) Zbl 1419.20003
Summary: We prove the freeness conjecture of Broué, Malle and Rouquier [M. Broué et al., J. Reine Angew. Math. 500, 127–190 (1998; Zbl 0921.20046)] for the Hecke algebras associated to the primitive complex 2-reflection groups with a single conjugacy class of reflections.

MSC:
20C08 Hecke algebras and their representations
20F55 Reflection and Coxeter groups (group-theoretic aspects)
Software:
CHEVIE
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