Corollary of Timmesfeld's replacement theorem for elementary abelian subgroups

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Suppose P is a group of prime power order and A is an Elementary abelian subgroup of maximum rank (?) in P. Suppose V is an A-invariant elementary abelian subgroup of P. Then, [V,A]C_A([V,A]) is an elementary abelian subgroup of maximum rank.

Related facts

Facts used

  1. Timmesfeld's replacement theorem


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