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Mitchell's group
In
mathematics
,
Mitchell's
group
is a
complex reflection group
in
6
complex
dimensions
of order
108
× 9!, introduced by. It has the
structure
6.PSU
4
.
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
3
and
Coxeter-Dynkin diagram
.
Mitchell's group is an
index
2
subgroup
of the
automorphism group
of the
Coxeter–Todd lattice
.
