Book Review
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Book Information:
Author:
Richard M. Weiss
Title:
Quadrangular algebras
Additional book information:
Mathematical Notes, vol. 46, Princeton University Press,
2006,
x+131 pp.,
ISBN 978-0-691-12460-5,
US$45.00$
R. H. Bruck and Erwin Kleinfeld, The structure of alternative division rings, Proc. Amer. Math. Soc. 2 (1951), 878–890. MR 45099, DOI 10.1090/S0002-9939-1951-0045099-9
Erwin Kleinfeld, Alternative division rings of characteristic $2$, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 818–820. MR 45100, DOI 10.1073/pnas.37.12.818
J. Tits, Classification of algebraic semisimple groups, Algebraic Groups and Discontinuous Subgroups (Proc. Sympos. Pure Math., Boulder, Colo., 1965) Amer. Math. Soc., Providence, R.I., 1966, pp. 33–62. MR 0224710
J. Tits, Classification of buildings of spherical type and Moufang polygons: a survey, Colloquio Internazionale sulle Teorie Combinatorie (Roma, 1973) Atti dei Convegni Lincei, No. 17, Accad. Naz. Lincei, Rome, 1976, pp. 229–246 (English, with Italian summary). MR 0444793
J. Tits, Non-existence de certains polygones généralisés. I, Invent. Math. 36 (1976), 275–284. MR 435248, DOI 10.1007/BF01390013
6. J. Tits, Groupes de Whitehead de groupes algébriques simples sur un corps, Seminaire Bourbaki, 1976-77, no. 505; Lecture Notes in Mathematics 677, Springer-Verlag, 1977.
J. Tits, Moufang octagons and the Ree groups of type $^{2}F_{4}$, Amer. J. Math. 105 (1983), no. 2, 539–594. MR 701569, DOI 10.2307/2374268
Jacques Tits and Richard M. Weiss, Moufang polygons, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 2002. MR 1938841, DOI 10.1007/978-3-662-04689-0
Richard Weiss, The nonexistence of certain Moufang polygons, Invent. Math. 51 (1979), no. 3, 261–266. MR 530632, DOI 10.1007/BF01389918
- 1.
- R. H. Bruck and E. Kleinfeld, The structure of alternative division rings, Proc. Amer. Math. Soc. 2 (1951) 878-890. MR 0045099
- 2.
- E. Kleinfeld, Alternative division rings of characteristic 2, Proc. Nat. Acad. Sci. U.S. 37 (1951) 818-820. MR 0045100
- 3.
- J. Tits, Classification of algebraic semisimple groups, in Algebraic Groups and Discontinuous Subgroups, Boulder, 1965, Proc. Symp. Pure Math. 9, Amer. Math. Soc., 1966, pp. 33-62. MR 0224710
- 4.
- J. Tits, Classification of buildings of spherical type and Moufang polygons: a survey, in Coll. Internaz. Teorie Combinatorie, Atti dei Convegni Lincei 17, Rome 1976, pp. 229-246. MR 0444793
- 5.
- J. Tits, Non-existence de certains polygones généralisés, I, II, Inventiones Math. 36 (1976) 275-284; 51 (1979) 267-269. MR 0435248, MR 0530633 (83c:20055)
- 6.
- J. Tits, Groupes de Whitehead de groupes algébriques simples sur un corps, Seminaire Bourbaki, 1976-77, no. 505; Lecture Notes in Mathematics 677, Springer-Verlag, 1977.
- 7.
- J. Tits, Moufang octagons and Ree groups of type
, Amer J. Math. 105 (1983) 539-594. MR 0701569
- 8.
- J. Tits and R. Weiss, Moufang Polygons, Springer-Verlag, 2002. MR 1938841
- 9.
- R. Weiss, The nonexistence of certain Moufang polygons, Inventiones Math. 51 (1979) 261-266. MR 0530632
Review Information:
Reviewer:
Mark A. Ronan
Affiliation:
University of Illinois at Chicago
Email:
ronan@uic.edu
Journal:
Bull. Amer. Math. Soc.
45 (2008), 315-319
DOI:
https://doi.org/10.1090/S0273-0979-07-01162-7
Published electronically:
August 8, 2007
Review copyright:
© Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
