{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T00:39:10Z","timestamp":1649032750576},"reference-count":8,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2015,8]]},"abstract":"<jats:p> We show that any subgroup of a (virtually) nilpotent-by-polycyclic group satisfies the bounded packing property of Hruska\u2013Wise [Packing subgroups in relatively hyperbolic groups, Geom. Topol. 13 (2009) 1945\u20131988]. In particular, the same is true for all finitely generated subgroups of metabelian groups and linear solvable groups. However, we find an example of a finitely generated solvable group of derived length 3 which admits a finitely generated metabelian subgroup without the bounded packing property. In this example the subgroup is a retract also. Thus we obtain a negative answer to Problem 2.27 of the above paper. On the other hand, we show that polycyclic subgroups of solvable groups satisfy the bounded packing property. <\/jats:p>","DOI":"10.1142\/s0218196715500253","type":"journal-article","created":{"date-parts":[[2015,7,3]],"date-time":"2015-07-03T11:05:42Z","timestamp":1435921542000},"page":"917-926","source":"Crossref","is-referenced-by-count":0,"title":["Packing subgroups in solvable groups"],"prefix":"10.1142","volume":"25","author":[{"given":"Pranab","family":"Sardar","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of California, Davis, 1 Shields Avenue, Davis, CA 95616, USA"}]}],"member":"219","published-online":{"date-parts":[[2015,8,13]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/s10711-006-9061-4"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-98-01792-9"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s1-24.4.247"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1112\/plms\/s2-44.1.53"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.2140\/gt.2009.13.1945"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(74)90013-9"},{"key":"rf8","first-page":"471","volume":"17","author":"Roseblade J. E.","year":"1976","journal-title":"Sympos. Math."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-2011-10788-3"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196715500253","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T09:10:35Z","timestamp":1565082635000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196715500253"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8]]},"references-count":8,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2015,8,13]]},"published-print":{"date-parts":[[2015,8]]}},"alternative-id":["10.1142\/S0218196715500253"],"URL":"https:\/\/doi.org\/10.1142\/s0218196715500253","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8]]}}}