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Course Queries Syllabus Queries 2 years ago
Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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I found the following exercise in my href="https://forum.tuteehub.com/tag/algebra">algebra href="https://forum.tuteehub.com/tag/syllabus">syllabus:
Prove Aut(H)≅S4Aut(H)≅S4.
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.
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