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Held group

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In mathematics, the Held group, He, is the unique finite simple sporadic group of order [2^ 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)^ = [a,, b]^6 = [a,, b^3]^5 = [a,,babab^abab] =]
[(ab)^4ab^2ab^ababab^ab^3ab^ab^2 = 1.]
It is named for Dieter Held.

 


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