{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,31]],"date-time":"2022-03-31T03:18:40Z","timestamp":1648696720858},"reference-count":11,"publisher":"World Scientific Pub Co Pte Lt","issue":"05n06","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2005,10]]},"abstract":"<jats:p> We study certain subgroups of the Schur multiplicator of a group G. These subgroups are related to the identification of subgroups of G determind by ideals in its integral group ring \u2124[G]. Suitably defined transfinite powers of the augmentation ideal of \u2124[G] provide an increasing transfinite filtration of the Schur multiplicator of G. We investigate the relationship of this filtration with the transfinite lower central series of groups which are HZ-local in the sense of Bousfield. <\/jats:p>","DOI":"10.1142\/s0218196705002785","type":"journal-article","created":{"date-parts":[[2006,1,5]],"date-time":"2006-01-05T00:48:36Z","timestamp":1136422116000},"page":"1061-1073","source":"Crossref","is-referenced-by-count":0,"title":["A TRANSFINITE FILTRATION OF SCHUR MULTIPLICATOR"],"prefix":"10.1142","volume":"15","author":[{"given":"ROMAN","family":"MIKHAILOV","sequence":"first","affiliation":[{"name":"Steklov Mathematical Institute, Department of Algebra, Gubkina 8, Moscow, 119991, Russia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"INDER BIR S.","family":"PASSI","sequence":"additional","affiliation":[{"name":"Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad, 211019, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"308","volume":"129","author":"Baumslag G.","journal-title":"Trans. Amer. Math. Soc."},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1969-0245653-3"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF02567366"},{"key":"rf4","volume":"186","author":"Bousfield A. K.","journal-title":"Mem. Amer. Math. Soc."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/S0040-9383(97)00044-X"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(75)90006-7"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jpaa.2004.01.005"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(68)90018-5"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01189351"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/0022-4049(83)90039-7"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/0021-8693(65)90017-7"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196705002785","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:26:28Z","timestamp":1565130388000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196705002785"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,10]]},"references-count":11,"journal-issue":{"issue":"05n06","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,10]]}},"alternative-id":["10.1142\/S0218196705002785"],"URL":"https:\/\/doi.org\/10.1142\/s0218196705002785","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,10]]}}}