Pronormality satisfies intermediate subgroup condition

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This article gives the statement, and possibly proof, of a subgroup property (i.e., pronormal subgroup) satisfying a subgroup metaproperty (i.e., intermediate subgroup condition)
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Get more facts about pronormal subgroup |Get facts that use property satisfaction of pronormal subgroup | Get facts that use property satisfaction of pronormal subgroup|Get more facts about intermediate subgroup condition


Statement with symbols

Suppose H \le K \le G are groups such that H is a pronormal subgroup of G. Then, H is also a pronormal subgroup of K.

Related facts

Related metaproperty dissatisfactions for pronormality

Related properties satisfying the intermediate subgroup condition


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