An abstract algebra teacher wanted to give his students a list of nine whole numbers that form a group under multiplication modulo 91. $$\{1,9,16,22,53,74,79,81\}$$ He forgot one of the nine numbers. What was the forgotten number? I'm comfused, help please.
2026-04-13 08:58:01.1776070681
An abstract algebra teacher wanted to give his students a list of nine whole numbers that form a group under multiplication modulo 91.
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The missing number is 29. The mentioned group of order 9 is $\mathbb Z_3^2$, with 9 and 16 as generators: