{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T23:41:36Z","timestamp":1648856496011},"reference-count":32,"publisher":"World Scientific Pub Co Pte Ltd","issue":"08","funder":[{"name":"Marsden Fund of New Zealand","award":["UOA 1626"],"award-info":[{"award-number":["UOA 1626"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Algebra Comput."],"published-print":{"date-parts":[[2021,12]]},"abstract":"<jats:p> Let [Formula: see text] be a prime and let [Formula: see text] be the complex field. We explicitly classify the finite solvable irreducible monomial subgroups of [Formula: see text] up to conjugacy. That is, we give a complete and irredundant list of [Formula: see text]-conjugacy class representatives as generating sets of monomial matrices. Copious structural information about non-solvable finite irreducible monomial subgroups of [Formula: see text] is also proved, enabling a classification of all such groups bar one family. We explain the obstacles in that exceptional case. For [Formula: see text], we classify all finite irreducible subgroups of [Formula: see text]. Our classifications are available publicly in MAGMA. <\/jats:p>","DOI":"10.1142\/s0218196721500569","type":"journal-article","created":{"date-parts":[[2021,9,13]],"date-time":"2021-09-13T15:05:38Z","timestamp":1631545538000},"page":"1547-1585","source":"Crossref","is-referenced-by-count":0,"title":["Classifying finite monomial linear groups of prime degree in characteristic zero"],"prefix":"10.1142","volume":"31","author":[{"given":"Z.","family":"B\u00e1cskai","sequence":"first","affiliation":[{"name":"Defence Science Technology Group, Canberra, Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D. 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