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Book Review
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Book Information
Author(s):
Richard M. Weiss
Title:
Quadrangular algebras
Additional book information:
Mathematical Notes, vol. 46, Princeton University Press,
2006,
x+131,
US$45.00,
978-0-691-12460-5
References:
-
- 1.
- R. H. Bruck and E. Kleinfeld, The structure of alternative division rings, Proc. Amer. Math. Soc. 2 (1951) 878-890. MR 0045099 (13:526e)
- 2.
- E. Kleinfeld, Alternative division rings of characteristic 2, Proc. Nat. Acad. Sci. U.S. 37 (1951) 818-820. MR 0045100 (13:527a)
- 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 (37:309)
- 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 (56:3140)
- 5.
- J. Tits, Non-existence de certains polygones généralisés, I, II, Inventiones Math. 36 (1976) 275-284; 51 (1979) 267-269. MR 0435248 (55:8208), 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 701569 (84m:20048) - 8.
- J. Tits and R. Weiss, Moufang Polygons, Springer-Verlag, 2002. MR 1938841 (2003m:51008)
- 9.
- R. Weiss, The nonexistence of certain Moufang polygons, Inventiones Math. 51 (1979) 261-266. MR 530632 (82k:05062)
Additional Information:
Reviewer(s):
Mark
A.
Ronan
Affiliation:
University of Illinois at Chicago
Email:
ronan@uic.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
45
(2008),
315-319.
MSC
(2000):
Primary 17D99;
Secondary 20G15, 51B25
DOI:
10.1090/S0273-0979-07-01162-7
PII:
S 0273-0979(07)01162-7
Posted:
August 8, 2007
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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