Notes - Groups HT23, Cayley tables
Flashcards
What is in the $(i, j)$-th entry of the Cayley table for $G$?
\[g_i \ast g_j\]
What mneumonic helps you remember the order in which to look up a product in a Cayley table?
Down the corridor, along the stairs.
Proofs
Prove that every Cayley table has the Latin square property, i.e. that every element of $G$ appears one in each row and each column.
Todo.