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

$a^2 = b^7 = (ab)^{17} = [a,\, b]^6 = [a,\, b^3]^5 = [a,\,babab^{-1}abab] =$

(ab)⁴ab²ab^{- 3}ababab^{- 1}ab³ab^{- 2}ab² = 1.

Categories: Mathematics | Group theory

This article is licensed under the GNU Free Documentation License. It uses material from Wikipedia article. Browse Wikipedia for more information.