Abnormal normalizer not implies pronormal
This article gives the statement and possibly, proof, of a non-implication relation between two subgroup properties. That is, it states that every subgroup satisfying the first subgroup property (i.e., subgroup with abnormal normalizer) need not satisfy the second subgroup property (i.e., pronormal subgroup)
View a complete list of subgroup property non-implications | View a complete list of subgroup property implications
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The proof follows directly by combining facts (1) and (2).