Introduction into the
Symmetry of Molecules

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Step 173

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We want to now compile that it actually concerns a group. In addition we test whether the given quantity fulfills the four group axioms.

Again items of the quantity are assigned to all possible products, which was given by the defining relations already.
The associative law is fulfilled; we indicate only one example:
( -)- = (- -)
because the left side results in ( -)- = - - = and the right page results in (- -) = = (see multiplication board).
Far with step 174!