Held group

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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} = [a,\, b]^6 = [a,\, b^3]^5 = [a,\,babab^{-1}abab] =
(ab)4ab2ab − 3ababab − 1ab3ab − 2ab2 = 1.

It is named for Dieter Held.

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