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Discrete Math."],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>Subject to announced results by Geelen, Gerards, and Whittle [ Towards a structure theory for matrices and matroids, in Proceedings of the International Congress of Mathematicians, Vol. III, 2006, pp. 827--842], we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unity matroids.<\/jats:p>","DOI":"10.1137\/20m1369403","type":"journal-article","created":{"date-parts":[[2021,6,17]],"date-time":"2021-06-17T13:38:16Z","timestamp":1623937096000},"page":"1356-1380","source":"Crossref","is-referenced-by-count":1,"title":["On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids"],"prefix":"10.1137","volume":"35","author":[{"given":"Ben","family":"Clark","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Kevin","family":"Grace","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"James","family":"Oxley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefan H. 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