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Algebra Comput."],"published-print":{"date-parts":[[2022,5]]},"abstract":"<jats:p> In this paper, we construct a family of two types of finitely generated non-Hopfian groups with explicit presentations, where the first type satisfies small cancellation conditions C(4) and T(4), and interpret these groups as direct limits of relatively hyperbolic groups and ordinary hyperbolic groups, respectively. <\/jats:p>","DOI":"10.1142\/s0218196722500229","type":"journal-article","created":{"date-parts":[[2022,2,12]],"date-time":"2022-02-12T12:16:32Z","timestamp":1644668192000},"page":"461-481","source":"Crossref","is-referenced-by-count":0,"title":["Construction of non-Hopfian groups as direct limits of relatively hyperbolic groups"],"prefix":"10.1142","volume":"32","author":[{"given":"Jan","family":"Kim","sequence":"first","affiliation":[{"name":"Department of Mathematics, Pusan National University, San-30 Jangjeon-Dong, Geumjung-Gu, Pusan 609-735, Korea"}]},{"given":"Donghi","family":"Lee","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Pusan National University, San-30 Jangjeon-Dong, Geumjung-Gu, Pusan 609-735, Korea"}]}],"member":"219","published-online":{"date-parts":[[2022,2,11]]},"reference":[{"key":"S0218196722500229BIB001","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2009.13.1043"},{"key":"S0218196722500229BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-05488-9_2"},{"key":"S0218196722500229BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218196712500166"},{"key":"S0218196722500229BIB004","doi-asserted-by":"publisher","DOI":"10.4171\/GGD\/488"},{"key":"S0218196722500229BIB005","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2003.7.933"},{"key":"S0218196722500229BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s000390050075"},{"key":"S0218196722500229BIB007","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2005.9.2319"},{"key":"S0218196722500229BIB008","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.2001.9033"},{"key":"S0218196722500229BIB009","doi-asserted-by":"publisher","DOI":"10.1006\/jabr.1999.8104"},{"issue":"5","key":"S0218196722500229BIB010","first-page":"555","volume":"36","author":"Kim J.","year":"2020","journal-title":"East Asian Math. 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