References to for Quasigroup Theory

Question

Can anyone suggest some references (books or articles) to understand Quasigroup Theory. I need very easy to understand reference if there is one. Thank you very much.

Edit: Note: I have checked wikipedia article before asking the question. Kindly do not recommend that. Thanks

Answer 1

The Wikipedia article on quasigroups, already mentioned in replies, has as complete a list of reference books as possible. If you specifically want to know the easiest book among those listed, it's the one by Hala Pflugfelder:

H.O. Pflugfelder (1990). Quasigroups and Loops: Introduction. Berlin: Heldermann.

It does not assume as much mathematical background as the others.

Regarding the rest of the references:

1. Bruck's book is still a standard reference, but is poorly organized and is not meant for beginners.
2. The books by Belousov have never been translated into English.
3. The Chein/Pflugfelder/Smith book is not a textbook but a collection of survey articles. It assumes some familiarity with quasigroup theory.
4. The book by Shcherbacov is not really a textbook but is useful as an all-in-one reference for work by Russian and Moldovan quasigroup theorists.
5. Although the introductory chapters of Smith's book on representation theory are self-contained, it is not an introduction to quasigroup theory. It is good for learning about Smith's work all in one place.