{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,11]],"date-time":"2025-12-11T07:41:13Z","timestamp":1765438873976,"version":"3.37.3"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","funder":[{"name":"Fundaci\u00f3n S\u00e9neca of Murcia under a Jim\u00e9nez de la Espada","award":["20598\/IV\/18"],"award-info":[{"award-number":["20598\/IV\/18"]}]},{"name":"Fundaci\u00f3n S\u00e9neca of Murcia","award":["19880\/GERM\/15"],"award-info":[{"award-number":["19880\/GERM\/15"]}]},{"DOI":"10.13039\/501100004837","name":"MCIN","doi-asserted-by":"crossref","award":["PID2020-113206GB-I00"],"award-info":[{"award-number":["PID2020-113206GB-I00"]}],"id":[{"id":"10.13039\/501100004837","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p> We classify the finite 2-generator cyclic-by-abelian groups of prime-power order. We associate to each such group [Formula: see text] a list [Formula: see text] of numerical group invariants which determines the isomorphism type of [Formula: see text]. Then we describe the set formed by all the possible values of [Formula: see text]. This allows us to develop practical algorithms to construct all finite non-Abelian 2-generator cyclic-by-abelian groups of a given prime-power order, to compute the invariants of such a group, and to decide whether two such groups are isomorphic. <\/jats:p>","DOI":"10.1142\/s0218196723500297","type":"journal-article","created":{"date-parts":[[2023,4,20]],"date-time":"2023-04-20T08:50:20Z","timestamp":1681980620000},"page":"641-686","source":"Crossref","is-referenced-by-count":3,"title":["A classification of the finite 2-generator cyclic-by-abelian groups of prime-power order"],"prefix":"10.1142","volume":"33","author":[{"given":"Osnel","family":"Broche","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1tica e Matem\u00e1tica Aplicada, Universidade Federal de Lavras, Caixa Postal 3037, 37200-000 Lavras, Brazil"}]},{"given":"Diego","family":"Garc\u00eda-Lucas","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain"}]},{"given":"\u00c1ngel","family":"del R\u00edo","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad de Murcia, 30100 Murcia, Spain"}]}],"member":"219","published-online":{"date-parts":[[2023,6,30]]},"reference":[{"issue":"1","key":"S0218196723500297BIB001","doi-asserted-by":"crossref","first-page":"145","DOI":"10.5486\/PMD.2012.5114","volume":"81","author":"Ahmad A.","year":"2012","journal-title":"Publ. 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