{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T20:24:09Z","timestamp":1648671849601},"reference-count":10,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2008,3]]},"abstract":"<jats:p> Let A be a cyclic group of order p<jats:sup>n<\/jats:sup>, where p is a prime, and B be a finite abelian group or a finite p-group which is determined by its endomorphism semigroup in the class of all groups. It is proved that under these assumptions the wreath product A Wr B is determined by its endomorphism semigroup in the class of all groups. It is deduced from this result that if A, B, A<jats:sub>0<\/jats:sub>,\u2026, A<jats:sub>n<\/jats:sub> are finite abelian groups and A<jats:sub>0<\/jats:sub>,\u2026, A<jats:sub>n<\/jats:sub> are p-groups, p prime, then the wreath products A Wr B and A<jats:sub>n<\/jats:sub> Wr (\u2026( Wr (A<jats:sub>1<\/jats:sub> Wr A<jats:sub>0<\/jats:sub>))\u2026) are determined by their endomorphism semigroups in the class of all groups. <\/jats:p>","DOI":"10.1142\/s0218196708004421","type":"journal-article","created":{"date-parts":[[2008,3,20]],"date-time":"2008-03-20T09:29:16Z","timestamp":1206005356000},"page":"243-255","source":"Crossref","is-referenced-by-count":1,"title":["CHARACTERIZATIONS OF SOME WREATH PRODUCTS OF GROUPS BY THEIR ENDOMORPHISM SEMIGROUPS"],"prefix":"10.1142","volume":"18","author":[{"given":"PEETER","family":"PUUSEMP","sequence":"first","affiliation":[{"name":"Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, Tallinn 19086, Estonia"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Finite Groups","author":"Gorenstein D.","year":"1980"},{"key":"rf2","first-page":"191","volume":"11","author":"Khripta I. I.","journal-title":"Mat. zametki"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-017-0345-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/BF01109904"},{"key":"rf5","first-page":"76","volume":"366","author":"Puusemp P.","journal-title":"Acta etComment. Univ. Tartuensis"},{"key":"rf6","first-page":"183","volume":"16","author":"Puusemp P.","journal-title":"Algebras, Groups and Geometries"},{"key":"rf7","first-page":"487","volume":"16","author":"Puusemp P.","journal-title":"Algebras, Groups and Geometries"},{"key":"rf9","first-page":"479","volume":"17","author":"Puusemp P.","journal-title":"Algebras, Groups and Geometries"},{"key":"rf10","first-page":"101","volume":"20","author":"Puusemp P.","journal-title":"Algebras, Groups and Geometries"},{"key":"rf11","volume-title":"An Introduction to the Theory of Groups","author":"Rotman J. J.","year":"1994"}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196708004421","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:28:42Z","timestamp":1565130522000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196708004421"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,3]]},"references-count":10,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,3]]}},"alternative-id":["10.1142\/S0218196708004421"],"URL":"https:\/\/doi.org\/10.1142\/s0218196708004421","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,3]]}}}