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I'm looking for an undergraduate or beginning graduate level text from which to self-learn quasigroup theory. An emphasis on using quasigroups to understand the structure of groups would be appreciated. I prefer texts that are leisurely and systematic. I like having only a few examples, but those examples worked out in great detail.

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    $\begingroup$ I don't believe that quasigroups are studied at the undergraduate level. $\endgroup$ – vadim123 May 19 '13 at 15:41
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    $\begingroup$ Indeed often they are not :( $\endgroup$ – MattAllegro May 13 '14 at 22:14
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Because Bruck and Belousov were mentioned already, I add the following two references.

This is a very good book, while this one is a very good book also but is not easy.

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Bruck R.H.: A Survey of Binary Systems. Springer-Verlag, Berlin-Gottingen-Heidelberg, 1966.

Moreover, there is a good book

Belousov V.D.: Foundations of the theory of quasigroups and loops, Moscow, 1967,

but as you see, it is only in Russian

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