I am writing a proof to Sylow's 2nd Theorem. I have done it using group actions. My tutor told me it would be wise to introduce notation to make it more clear what group action I am talking about. I am unsure on how to do this. Do I just assign letters to each group action?
2026-04-07 16:28:01.1775579281
Notation for a proof containing group actions
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There is not perfect choice of notation. Look into the lecture notes or ask your tutor/other students.
I like this notation for group actions: For a left action of $g \in G$ acting on an element $x$ you could write $$ g \rhd x. $$
To differentiate between different group actions, you could introduce for example $\rhd_A$ and $\rhd_B$ to make clear which group action you refer to.