{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,12,20]],"date-time":"2023-12-20T16:31:39Z","timestamp":1703089899324},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,5]]},"abstract":"<jats:p> A palindrome is a word that reads the same left-to-right as right-to-left. We show that every simple group has a finite generating set X, such that every element of it can be written as a palindrome in the letters of X. Moreover, every simple group has palindromic width pw(G, X) = 1, where X only differs by at most one additional generator from any given generating set. On the contrary, we prove that all non-abelian finite simple groups G also have a generating set S with pw(G, S) &gt; 1. As a by-product of our work we also obtain that every just-infinite group has finite palindromic width with respect to a finite generating set. This provides first examples of groups with finite palindromic width but infinite commutator width. <\/jats:p>","DOI":"10.1142\/s0218196715500046","type":"journal-article","created":{"date-parts":[[2015,1,9]],"date-time":"2015-01-09T08:33:15Z","timestamp":1420792395000},"page":"439-444","source":"Crossref","is-referenced-by-count":4,"title":["Palindromic words in simple groups"],"prefix":"10.1142","volume":"25","author":[{"given":"Elisabeth","family":"Fink","sequence":"first","affiliation":[{"name":"DMA, \u00c9cole Normale Sup\u00e9rieure, 45 rue d'Ulm, Paris, 75005, France"}]},{"given":"Andreas","family":"Thom","sequence":"additional","affiliation":[{"name":"Mathematisches Institut, Universit\u00e4t Leipzig, PF 10 09 20, D-04009 Leipzig, Germany"}]}],"member":"219","published-online":{"date-parts":[[2015,4,9]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196714500246"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2013.12.002"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2004.11.003"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.4171\/JEMS\/220"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.2307\/3062101"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196707003767"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1515\/gcc-2014-0009"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/pdt027"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196715500046","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T04:04:36Z","timestamp":1565150676000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196715500046"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,9]]},"references-count":8,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2015,4,9]]},"published-print":{"date-parts":[[2015,5]]}},"alternative-id":["10.1142\/S0218196715500046"],"URL":"https:\/\/doi.org\/10.1142\/s0218196715500046","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4,9]]}}}