Mathematics Homework Solutions
#239010
Group Theory Proofs
a) Let H be a subgroup of some group G. Prove that if g1H and g2H are not disjoint, the they must be equal.
b) Prove that g1H = g2H if and only if g1^-1g2 is an element of H.
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This provides two examples of group proofs: equality and subgroups.
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