{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T20:38:57Z","timestamp":1769200737955,"version":"3.49.0"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[1993,12]]},"abstract":"<jats:p> It is currently unknown whether or not there exist (synchronously) combable groups which are not automatic. This note settles an analogous question in a simpler context. The notion of a broomlike combing is introduced. It is shown that if a group admits a broomlike combing then it admits a broomlike combing in which the language of combing words is regular. A finitely generated group admits a broomlike combing if and only if it contains a free subgroup of finite index. <\/jats:p>","DOI":"10.1142\/s0218196793000329","type":"journal-article","created":{"date-parts":[[2004,11,23]],"date-time":"2004-11-23T03:29:30Z","timestamp":1101180570000},"page":"575-581","source":"Crossref","is-referenced-by-count":7,"title":["A REMARK ABOUT COMBINGS OF GROUPS"],"prefix":"10.1142","volume":"03","author":[{"given":"MARTIN R.","family":"BRIDSON","sequence":"first","affiliation":[{"name":"Department of Mathematics, Princeton University, Princeton, NJ 08544, USA"}]},{"given":"ROBERT H.","family":"GILMAN","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Stevens Institute of Technology, Hoboken, NJ 07030, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196793000329","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:59:51Z","timestamp":1565128791000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196793000329"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,12]]},"references-count":0,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[1993,12]]}},"alternative-id":["10.1142\/S0218196793000329"],"URL":"https:\/\/doi.org\/10.1142\/s0218196793000329","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,12]]}}}