# Nilpotent join of intermediately isomorph-conjugate subgroups is intermediately isomorph-conjugate

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Revision as of 10:27, 29 September 2008 by Vipul (talk | contribs) (New page: ==Statement== Suppose <math>H_1, H_2 \le G</math> are fact about::intermediately isomorph-conjugate subgroups, such that <math>\langle H_1, H_2 \rangle</math> is a [[fact about::nilpo...)

## Statement

Suppose are Intermediately isomorph-conjugate subgroup (?)s, such that is a Nilpotent group (?). Then, is also intermediately isomorph-conjugate.

## Related facts

### Similar facts

## Facts used

- Intermediate isomorph-conjugacy is normalizing join-closed
- Nilpotent implies every subgroup is subnormal
- Intermediately isomorph-conjugate implies intermediately subnormal-to-normal

## Proof

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