{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,19]],"date-time":"2025-09-19T09:22:17Z","timestamp":1758273737860},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"07","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2018,11]]},"abstract":"<jats:p> The degree of commutativity of a group [Formula: see text] measures the probability of choosing two elements in [Formula: see text] which commute. There are many results studying this for finite groups. In [Y. Antol\u00edn, A. Martino and E. Ventura, Degree of commutativity of infinite groups, Proc. Amer. Math. Soc. 145 (2017) 479\u2013485, MR 3577854], this was generalized to infinite groups. In this note, we compute the degree of commutativity for wreath products of the form [Formula: see text] and [Formula: see text], where [Formula: see text] is any finite group. <\/jats:p>","DOI":"10.1142\/s0218196718500510","type":"journal-article","created":{"date-parts":[[2018,7,13]],"date-time":"2018-07-13T03:03:48Z","timestamp":1531451028000},"page":"1163-1173","source":"Crossref","is-referenced-by-count":4,"title":["The degree of commutativity and lamplighter groups"],"prefix":"10.1142","volume":"28","author":[{"given":"Charles Garnet","family":"Cox","sequence":"first","affiliation":[{"name":"Mathematical Sciences, University of Southampton, SO17 1BJ, UK"}]}],"member":"219","published-online":{"date-parts":[[2018,10,15]]},"reference":[{"key":"S0218196718500510BIB001","doi-asserted-by":"publisher","DOI":"10.1090\/proc\/13231"},{"issue":"4","key":"S0218196718500510BIB002","first-page":"675","volume":"52","author":"Babenko I. K.","year":"1988","journal-title":"Izv. Akad. Nauk SSSR Ser. Mat."},{"key":"S0218196718500510BIB003","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/394"},{"key":"S0218196718500510BIB004","doi-asserted-by":"publisher","DOI":"10.1023\/A:1020391000992"},{"key":"S0218196718500510BIB005","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/hah030"},{"key":"S0218196718500510BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s000130050120"},{"key":"S0218196718500510BIB007","doi-asserted-by":"publisher","DOI":"10.1080\/00927879808826184"},{"issue":"1","key":"S0218196718500510BIB009","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1215\/ijm\/1299679750","volume":"54","author":"Guba V.","year":"2010","journal-title":"Illinois J. Math."},{"key":"S0218196718500510BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2012.12.007"},{"key":"S0218196718500510BIB011","series-title":"Dover Books on Mathematics","volume-title":"Introduction to Combinatorial Analysis","author":"Riordan J.","year":"2003"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196718500510","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T12:16:27Z","timestamp":1565180187000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196718500510"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10,15]]},"references-count":10,"journal-issue":{"issue":"07","published-online":{"date-parts":[[2018,10,15]]},"published-print":{"date-parts":[[2018,11]]}},"alternative-id":["10.1142\/S0218196718500510"],"URL":"https:\/\/doi.org\/10.1142\/s0218196718500510","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,10,15]]}}}