caa a22 4500 467899622 CHVBK 20180406152814.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s00012-006-2005-x doi (NATIONALLICENCE)springer-10.1007/s00012-006-2005-x Smith Jonathan Department of Mathematics, Iowa State University, 50011, Ames, Iowa, U.S.A aut Permutation representations of left quasigroups [Elektronische Daten] [Jonathan Smith] Abstract.: The concept of a permutation representation has recently been extended from groups to quasigroups. Following a suggestion of Walter Taylor, the concept is now further extended to left quasigroups. The paper surveys the current state of the theory, giving new proofs where necessary to cover the general case of left quasigroups. Both the Burnside Lemma and the Burnside algebra appear in this new context. Birkhäuser Verlag, Basel, 2007 quasigroup nationallicence left quasigroup nationallicence right quasigroup nationallicence multiplication group nationallicence permutation representation nationallicence iterated function system nationallicence IFS nationallicence coalgebra nationallicence covariety nationallicence Burnside lemma nationallicence Burnside algebra nationallicence algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 387-406 0002-5240 55:2-3<387 2006 55 12 https://doi.org/10.1007/s00012-006-2005-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00012-006-2005-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Smith Jonathan Department of Mathematics, Iowa State University, 50011, Ames, Iowa, U.S.A aut NATIONALLICENCE 773 0- algebra universalis Birkhäuser-Verlag; www.birkhauser.ch 55/2-3(2006-08-01), 387-406 0002-5240 55:2-3<387 2006 55 12 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer