Elementary abelian-to-2-subnormal replacement theorem
This article defines a replacement theorem
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Suppose is a Group of prime power order (?), say , where . Let be an elementary abelian subgroup of .
Then, there exists an elementary abelian subgroup of such that:
Statement in terms of weak 2-subnormal replacement condition
For at least and any nonnegative integer , the singleton set comprising the elementary abelian subgroup of order is a collection of subgroups satisfying a weak 2-subnormal replacement condition.