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An abstract algebra teacher intended to give a typist a
Chapter 2, Problem 21E(choose chapter or problem)
An abstract algebra teacher intended to give a typist a list of nine integers that form a group under multiplication modulo 91. Instead, one of the nine integers was inadvertently left out, so that the list appeared as 1, 9, 16, 22, 53, 74, 79, 81. Which integer was left out? (This really happened!)
Questions & Answers
QUESTION:
An abstract algebra teacher intended to give a typist a list of nine integers that form a group under multiplication modulo 91. Instead, one of the nine integers was inadvertently left out, so that the list appeared as 1, 9, 16, 22, 53, 74, 79, 81. Which integer was left out? (This really happened!)
ANSWER:Step 1 of 2
Write the subset as:
According to given condition is a group under multiplication modulo 91. We have to determine the value of .