{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T13:02:50Z","timestamp":1648990970625},"reference-count":16,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2005,2]]},"abstract":"<jats:p> A Schmidt group is a non-nilpotent finite group in which each proper subgroup is nilpotent. Each Schmidt group G is a solvable group of order p<jats:sup>s<\/jats:sup> q<jats:sup>v<\/jats:sup> (where p and q are different primes) with a unique Sylow p-subgroup P and a cyclic Sylow q-subgroup Q, and hence G is a semidirect product of P by Q. Denote by [Formula: see text] the class of all Schmidt groups of orders p<jats:sup>s<\/jats:sup> q<jats:sup>v<\/jats:sup>, where p, q, and v are fixed and s is arbitrary. It is shown in this paper that the class [Formula: see text] can be characterized by the properties of the endomorphism semigroups of the groups of this class. It follows from this characterization that if [Formula: see text] and H is another group such that the endomorphism semigroups of G and H are isomorphic, then [Formula: see text], too. <\/jats:p>","DOI":"10.1142\/s0218196705002128","type":"journal-article","created":{"date-parts":[[2005,3,1]],"date-time":"2005-03-01T05:13:40Z","timestamp":1109654020000},"page":"161-173","source":"Crossref","is-referenced-by-count":1,"title":["A CHARACTERIZATION OF SCHMIDT GROUPS BY THEIR ENDOMORPHISM SEMIGROUPS"],"prefix":"10.1142","volume":"15","author":[{"given":"PEETER","family":"PUUSEMP","sequence":"first","affiliation":[{"name":"Department of Mathematics, Tallinn Technical University, Ehitajate tee 5, Tallinn 19086, Estonia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1962.12.1"},{"key":"rf2","first-page":"1313","volume":"60","author":"Golfand Yu. A.","journal-title":"Dokl. Akad. Nauk USSR"},{"key":"rf3","volume-title":"Finite Groups","author":"Gorenstein D.","year":"1968"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-64981-3"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01159715"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1903-1500650-9"},{"key":"rf7","unstructured":"W.\u00a0Liebert, Abelian Group Theory (Oberwolfach, 1985), eds. R.\u00a0G\u00f6bel and E. A.\u00a0Walker (Gordon and Breach, New York, 1987)\u00a0pp. 9\u201331."},{"key":"rf8","first-page":"76","volume":"366","author":"Puusemp P.","journal-title":"Acta Comment. Univ. Tartu. Math."},{"key":"rf9","first-page":"183","volume":"16","author":"Puusemp P.","journal-title":"Algebras Groups Geom."},{"key":"rf10","first-page":"84","volume":"390","author":"Puusemp P.","journal-title":"Acta Comment. Univ. Tartu. Math."},{"key":"rf11","first-page":"139","volume":"18","author":"Puusemp P.","journal-title":"Algebras Groups Geom."},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/BF02568131"},{"key":"rf13","first-page":"303","volume":"4","author":"Redei L.","journal-title":"Publ. Math."},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8594-1"},{"key":"rf15","first-page":"366","volume":"31","author":"Schmidt O. J.","journal-title":"Rec. Math. Moscow"},{"key":"rf16","unstructured":"P.\u00a0Schultz, Abelian Groups, Module Theory, and Topology: Proceedings in Honour of Adalberto Orsatti's 60th Birthday, Lecture Notes in Pure and Applied Mathematics\u00a0201, eds. Dikran\u00a0Dikranjan and Luigi\u00a0Salce (Marcel Dekker, New York-Basel-Hong Kong, 1998)\u00a0pp. 373\u2013379."}],"container-title":["International Journal of Algebra and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218196705002128","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T18:27:13Z","timestamp":1565116033000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218196705002128"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,2]]},"references-count":16,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2005,2]]}},"alternative-id":["10.1142\/S0218196705002128"],"URL":"https:\/\/doi.org\/10.1142\/s0218196705002128","relation":{},"ISSN":["0218-1967","1793-6500"],"issn-type":[{"value":"0218-1967","type":"print"},{"value":"1793-6500","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,2]]}}}