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We show that a Buchsteiner loop modulo its nucleus is an abelian group of exponent four, and construct an example where the factor achieves this exponent. <\/jats:p>","DOI":"10.1142\/s0218196709005482","type":"journal-article","created":{"date-parts":[[2010,1,28]],"date-time":"2010-01-28T05:30:36Z","timestamp":1264656636000},"page":"1049-1088","source":"Crossref","is-referenced-by-count":11,"title":["BUCHSTEINER LOOPS"],"prefix":"10.1142","volume":"19","author":[{"given":"PIROSKA","family":"CS\u00d6RG\u0150","sequence":"first","affiliation":[{"name":"Department of Mathematics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00f6ny 1\/C, H-1117 Budapest, Hungary"}]},{"given":"ALE\u0160","family":"DR\u00c1PAL","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Charles University, Sokolovsk\u00e1 83, 186 75 Praha 8, Czech Rep."}]},{"given":"MICHAEL K.","family":"KINYON","sequence":"additional","affiliation":[{"name":"Department of Mathematics, University of Denver, 2360 S. 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