In mathematics, Mitchell's group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by Mitchell. It has the structure 6.PSU4(F3).2. As a complex reflection group it has 126 reflections of order 2, and its ring of invariants is a polynomial algebra with generators of degrees 6, 12, 18, 24, 30, 42. Coxeter gives it group symbol [1 2 3]3 and Coxeter-Dynkin diagram . Mitchell's group is an index 2 subgroup of the automorphism group of the Coxeter–Todd lattice.
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| - In mathematics, Mitchell's group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by Mitchell. It has the structure 6.PSU4(F3).2. As a complex reflection group it has 126 reflections of order 2, and its ring of invariants is a polynomial algebra with generators of degrees 6, 12, 18, 24, 30, 42. Coxeter gives it group symbol [1 2 3]3 and Coxeter-Dynkin diagram . Mitchell's group is an index 2 subgroup of the automorphism group of the Coxeter–Todd lattice. (en)
- Inom matematiken är Mitchells grupp en i 6 komplexa dimensioner av ordning 108 × 9!, introducerad av. Den har strukturen 6.PSU4(F3).2. Som en komplex reflektionsgrupp har den 126 reflektioner av ordning 2, och dess ring av invarianter är en polynomalgebra med generatorer av graderna 6, 12, 18, 24, 30, 42. Mitchells grupp är en delgrupp av 2 av av . (sv)
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| - In mathematics, Mitchell's group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by Mitchell. It has the structure 6.PSU4(F3).2. As a complex reflection group it has 126 reflections of order 2, and its ring of invariants is a polynomial algebra with generators of degrees 6, 12, 18, 24, 30, 42. Coxeter gives it group symbol [1 2 3]3 and Coxeter-Dynkin diagram . Mitchell's group is an index 2 subgroup of the automorphism group of the Coxeter–Todd lattice. (en)
- Inom matematiken är Mitchells grupp en i 6 komplexa dimensioner av ordning 108 × 9!, introducerad av. Den har strukturen 6.PSU4(F3).2. Som en komplex reflektionsgrupp har den 126 reflektioner av ordning 2, och dess ring av invarianter är en polynomalgebra med generatorer av graderna 6, 12, 18, 24, 30, 42. Mitchells grupp är en delgrupp av 2 av av . (sv)
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