Held Group
In
mathematics
, the
Held group
,
He
, is the unique finite
simple sporadic group
of order
2^{10} 3^3 5^2 7^3\,17
. It can be defined in terms of the generators
a
and
b
and relations
a^2 = b^7 = (ab)^{17} =
b
^6 =
b^3
^5 =
a,\,babab^{-1}abab
=
(ab)^4ab^2ab^{-3}ababab^{-1}ab^3ab^{-2}ab^2 = 1.
It is named for Dieter Held.
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