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Properties of a group

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@ H C S J
H S J S H
C H H J C
S H J C S
J H C S J

Given the operation @ and the set {H,C,S,J} shown above, find and prove those properties of the table that are those of a group. For those properties that don't conform to a group, indicate and find a counterexample for each of those properties.

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Properties of a group are discussed.

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@ H C S J
H S J S H
C H H J C
S H J C S
J H C S J

Given the operation @ and the set {H,C,S,J} shown above, find and prove those properties of the table that are those of a group. For those properties that don't conform to a group, indicate and find a counter-example for each of those ...

Purchase this Solution
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