So today in class we talked about defining equations...(adsbygoogle = window.adsbygoogle || []).push({});

We were asked to consider the group generated by <a,b>

with the defining equations a^2 = e, b^3 = e, and ba = ab^2. With these equations we can easily see that there can only be a maximum of 6 elements (and apparently most of the time there will be exactly six).

My professor recalled there was some group(s), defined in a similar fashion, that should have n elements but surprisingly has less.

Anybody have any insight on this? Sorry if this is too vague

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# Free Group with defining equations

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