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\leftline{Mathematics 243 -- Algebraic Structures}
\leftline{Definitions Quiz 8 -- November 10, 2006}
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\leftline{Your Name: $\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }$}
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A) (5)  What is the definition of a (mathematical!) {\it group}.

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B) (5)  Let $H = \{[1],[3],[9]\}$ in ${\bf Z}_{26}$.  Is $H$ a group
under multiplication mod $26$?
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