Weibel, Charles Survey of non-Desarguesian planes. (English) Zbl 1160.51001 Notices Am. Math. Soc. 54, No. 10, 1294-1303 (2007). This is a survey of the connections between projective planes and algebraic structures. In addition to the connection between projective planes and simple complemented modular lattices, one has the connections between projective planes and the algebraic structures their lines carry, which constitute the main object of interest of the author. In this way, one stumbles upon ternary rings, near-fields, quasi-fields, and alternative division rings, the algebraic counterparts of certain classes of projective planes in the Lenz-Barlotti classification. AndrĂ©’s classification of translation planes concludes the survey. Reviewer: Victor V. Pambuccian (Phoenix) Cited in 7 Documents MSC: 51-02 Research exposition (monographs, survey articles) pertaining to geometry 51-03 History of geometry 51A35 Non-Desarguesian affine and projective planes 01A60 History of mathematics in the 20th century PDFBibTeX XMLCite \textit{C. Weibel}, Notices Am. Math. Soc. 54, No. 10, 1294--1303 (2007; Zbl 1160.51001)