Proof of Lemma 15.6

[jeremy9959]

Lemma 15.6 says:

The proof is given like this

:
It would be cleaner, I think, to point out that the stabilizer of K is N(K) n H and then invoke Theorem 14.11 which says
that the size of an orbit is the index of the stabilizer.

[rbeezer]

This sounds like a good idea. You are a bit ahead of me, I'm in the middle of Chapter 13 right now. If Tom does not get to this first, I'll give it a considered look once I get there in a couple of weeks.

[twjudson]

Hi Rob and Jeremy, Thanks for the input. You are both making my to do list longer. I have a few other projects that I need get off my desk first. Tom On Nov 10, 2021, at 3:41 PM, Rob Beezer ***@***.******@***.***>> wrote: This sounds like a good idea. You are a bit ahead of me, I'm in the middle of Chapter 13 right now. If Tom does not get to this first, I'll give it a considered look once I get there in a couple of weeks. — You are receiving this because you are subscribed to this thread. Reply to this email directly, view it on GitHub<https://urldefense.proofpoint.com/v2/url?u=https-3A__github.com_twjudson_aata_issues_55-23issuecomment-2D965771875&d=DwMCaQ&c=2X_btuPRWkGwRX26NHIotzR6MNUgJAbf6yNNV5-qTbU&r=BQmZUphR5rjzEsIGWo4gOhHhb8A_MVZPtDOMQxdFlh8&m=oE-rUe7yQvrcqOuGAto6XiVSwZLzIVVwbO-MY3YS6d8&s=7pJnBk2hF9YiMumcwXst0wossK8FrPt27orHHo5VfHs&e=>, or unsubscribe<https://urldefense.proofpoint.com/v2/url?u=https-3A__github.com_notifications_unsubscribe-2Dauth_ABN3O24MHUAWNUCZ5AIPP4LULLRIJANCNFSM5HY4EMEQ&d=DwMCaQ&c=2X_btuPRWkGwRX26NHIotzR6MNUgJAbf6yNNV5-qTbU&r=BQmZUphR5rjzEsIGWo4gOhHhb8A_MVZPtDOMQxdFlh8&m=oE-rUe7yQvrcqOuGAto6XiVSwZLzIVVwbO-MY3YS6d8&s=qdj_M7OsxdvFEsX-YSdwE4hAL7zotMdYYPEvDjeC-zE&e=>. Triage notifications on the go with GitHub Mobile for iOS<https://urldefense.proofpoint.com/v2/url?u=https-3A__apps.apple.com_app_apple-2Dstore_id1477376905-3Fct-3Dnotification-2Demail-26mt-3D8-26pt-3D524675&d=DwMCaQ&c=2X_btuPRWkGwRX26NHIotzR6MNUgJAbf6yNNV5-qTbU&r=BQmZUphR5rjzEsIGWo4gOhHhb8A_MVZPtDOMQxdFlh8&m=oE-rUe7yQvrcqOuGAto6XiVSwZLzIVVwbO-MY3YS6d8&s=Jevn8etANwsbVBSXVwDJbC_dGKZkIro6WH3f_LlWWDk&e=> or Android<https://urldefense.proofpoint.com/v2/url?u=https-3A__play.google.com_store_apps_details-3Fid-3Dcom.github.android-26referrer-3Dutm-5Fcampaign-253Dnotification-2Demail-2526utm-5Fmedium-253Demail-2526utm-5Fsource-253Dgithub&d=DwMCaQ&c=2X_btuPRWkGwRX26NHIotzR6MNUgJAbf6yNNV5-qTbU&r=BQmZUphR5rjzEsIGWo4gOhHhb8A_MVZPtDOMQxdFlh8&m=oE-rUe7yQvrcqOuGAto6XiVSwZLzIVVwbO-MY3YS6d8&s=0xY0pOQs5uaJaK3tNFkpCX3L70NbPBp4yoRUlXRmUWs&e=>.

[jeremy9959]

I made a PR #56 for this proposed fix. I'm not a PreTeXT expert so I hope it's ok.

[twjudson]

The PreTeXt in the fix looks good. Certainly, your fix is cleaner, but I'm not sure if students will lose track of what is going on. I have to think about this one carefully.