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From: ladkin@kestrel.ARPA (Peter Ladkin)
Newsgroups: net.math
Subject: Re: Groups, Alternative Definitions?
Message-ID: <5540@kestrel.ARPA>
Date: Fri, 7-Mar-86 16:49:33 EST
Article-I.D.: kestrel.5540
Posted: Fri Mar  7 16:49:33 1986
Date-Received: Mon, 10-Mar-86 08:41:33 EST
References: <370@ihnet.UUCP>
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Organization: Kestrel Institute, Palo Alto, CA
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In article <370@ihnet.UUCP>, eklhad@ihnet.UUCP (K. A. Dahlke) writes:
> If we modify the definition of a group slightly, do new groups arise?

You might be interested in loops, where the multiplication has 
different left and right inverses. Unfortunately, elementary
accounts are rare. There is a volume in the Springer Ergebnisse
series on loops, written by Bruck. They're useful for representing
Latin Squares. There's a more recent reference which currently
escapes me.

Peter Ladkin