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LoginWhat do we know about Aut(H)?
Course Queries Syllabus Queries 3 years ago
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manpreet![Tuteehub forum best answer]()
Best Answer
3 years ago
I found the following exercise in my href="https://forum.tuteehub.com/tag/algebra">algebra href="https://forum.tuteehub.com/tag/syllabus">syllabus:
Here Aut(⋅)Aut(⋅) denotes the set of group automorphisms.
I assume this is a typo, since Aut(Q8)≅S4Aut(Q8)≅S4, and proofs for this are managable and can be found on this site. However, before I found out this is most likely a typo, I was thinking about how to find Aut(H)Aut(H), but I didn't find a way to solve this. Is there anything known about Aut(H)Aut(H)? I couldn't find anything on the internet. I would be glad with either a reference or an answer.