Aschbacher's Component Theorem

Suppose that E(G) (the commuting product of all components of G) is simple and G contains a semisimple group involution. Then there is some semisimple group involution x such that C_G(x) has a normal subgroup K which is either quasisimple or isomorphic to O^+(4,q)^' and such that Q=C_G(K) is tightly embedded.

See also

Group Involution, Isomorphic Groups, Normal Subgroup, Quasisimple Group, Simple Group, Tightly Embedded

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Cite this as:

Weisstein, Eric W. "Aschbacher's Component Theorem." From MathWorld--A Wolfram Web Resource.

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