{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T13:59:41Z","timestamp":1648994381021},"reference-count":0,"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":[[1991,9]]},"abstract":"<jats:p> This paper is concerned with computation in finitely presented groups. We discuss a procedure for showing that a finite presentation presents a group with a free subgroup of finite index, and we give methods for solving various problems in such groups. Our procedure works by constructing a particular kind of partial groupoid whose universal group is isomorphic to the group presented. When the procedure succeeds, the partial groupoid can be used as an aid to computation in the group. <\/jats:p>","DOI":"10.1142\/s0218196791000237","type":"journal-article","created":{"date-parts":[[2004,11,25]],"date-time":"2004-11-25T12:12:21Z","timestamp":1101384741000},"page":"339-351","source":"Crossref","is-referenced-by-count":0,"title":["VERIFYING THAT A GROUP IS VIRTUALLY FREE"],"prefix":"10.1142","volume":"01","author":[{"given":"ROBERT H.","family":"GILMAN","sequence":"first","affiliation":[{"name":"Department of Mathematics, Stevens Institute of Technology, USA"}]}],"member":"219","published-online":{"date-parts":[[2012,1,25]]},"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196791000237","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:36:39Z","timestamp":1565130999000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196791000237"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":0,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,1,25]]},"published-print":{"date-parts":[[1991,9]]}},"alternative-id":["10.1142\/S0218196791000237"],"URL":"https:\/\/doi.org\/10.1142\/s0218196791000237","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}