Students' First Questions, Conjectures, Etc:

About Groups

Question: (S.J.) What is an example of a set and binary operation that is not closed?

Conjecture: ((D.C.) For symmetry groups, if ab=cb, then a=c.

Question: (??) Are there sets of numbers that are groups?

Question: (??) Are there subsets of groups we’ve seen that are themselves groups?.

Statement: (L.L.) I don’t like having 0 in multiplicative groups.

Statement: (C.C.) I'm suspicious of numbers with common factors with 6 when we're looking at multiplication mod 6.

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SummerMath Program