Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!watmath!clyde!burl!ulysses!bellcore!decvax!ittatc!dcdwest!sdcsvax!sdcrdcf!hplabs!qantel!lll-lcc!lll-crg!seismo!rochester!ritcv!rocksvax!rocksanne!sunybcs!ellie!colonel From: colonel@ellie.UUCP (Col. G. L. Sicherman) Newsgroups: net.math Subject: Re: not Groups Message-ID: <886@ellie.UUCP> Date: Wed, 12-Mar-86 14:24:22 EST Article-I.D.: ellie.886 Posted: Wed Mar 12 14:24:22 1986 Date-Received: Sun, 16-Mar-86 10:52:29 EST References: <370@ihnet.UUCP> <5540@kestrel.ARPA> Distribution: net Organization: A-1 Mosquito Farms Lines: 18 > 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. The last book I read on Latin Squares called them "quasigroups" or something like that. "Loops" sounds much better--if they're indeed the same. "An antiset is a mathematical object that fails to contain each of its members." --E. P. B. Umbugio -- Col. G. L. Sicherman UU: ...{rocksvax|decvax}!sunybcs!colonel CS: colonel@buffalo-cs BI: csdsicher@sunyabva