Mitchell's group
id:
mitchell-s-group-311-16085229
title:
Mitchell's group
text:
In mathematics, Mitchell's group is a complex reflection group in 6 complex dimensions of order 108 × 9!, introduced by Mitchell (1914). 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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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Mitchell%27s_group
date created:
date modified:
2023-08-12T23:34:54Z
main entity:
{"identifier":"Q6881086","url":"https://www.wikidata.org/entity/Q6881086"}
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13
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