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Book Review
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Book Information
Author(s):
T. Altinel, A. V. Borovik and G. Cherlin
Title:
Simple groups of finite Morley rank
Additional book information:
Mathematical Surveys and Monographs, 145,
American Mathematical Society, Providence, RI,
2008,
xix+556 pp.,
US $109.00,
ISBN 978-0-8218-4305-5
References:
-
- 1.
- J.T. Baldwin, A.H. Lachlan, On strongly minimal sets, J. Symb. Logic 36 (1971), 79-96. MR 0286642 (44:3851)
- 2.
- J.T. Baldwin, J. Saxl, Logical stability in group theory, J. Austral. Math. Soc. Ser. A 21 (1976), 267-276. MR 0407151 (53:10934)
- 3.
- A. Borovik, B. Poizat, Tores et
 -groupes, J. Symb. Logic 55 (1990), 565-583. MR 1056365 (91j:03045) - 4.
- A. Borovik, A. Nesin, Groups of finite Morley rank, Clarendon Press, Oxford, 1994. MR 1321141 (96c:20004)
- 5.
- G. Cherlin, Groups of small Morley rank, Ann. Math. Logic 17 (1979), 1-28. MR 552414 (81h:03072)
- 6.
- E. Hrushovski, A new strongly minimal set, Ann. Pure Appl. Logic 62 (1993), 147-166. MR 1226304 (94d:03064)
- 7.
- L. Kramer, K. Tent, H. van Maldeghem, Simple groups of finite Morley rank and Tits buildings, Isr. J. Math. 109 (1999), 189-224. MR 1679598 (2000f:51022)
- 8.
- M. Morley, Categoricity in power, Trans. Amer. Math. Soc. 114 (1965), 514-538. MR 0175782 (31:58)
- 9.
- B. Poizat, Groupes stables, Nur Al-Mantiq Wal-Ma'rifah, Villeurbanne, France, 1987. English translation in 2001 (Mathematical Surveys and Monographs 87, American Mathematical Society, RI). MR 902156 (89b:03056)
- 10.
- F. Wagner, Stable groups, London Math Soc. Lecture Notes 240, Cambridge University Press, Cambridge, 1997. MR 1473226 (99g:20010)
Additional Information:
Reviewer(s):
Dugald
Macpherson
Affiliation:
University of Leeds
Email:
h.d.macpherson@leeds.ac.uk
Review Information:
Journal:
Bull. Amer. Math. Soc.
47
(2010),
729-734.
MSC
(2000):
Primary 20E32;
Secondary 03C45, 03C60
DOI:
10.1090/S0273-0979-10-01287-5
PII:
S 0273-0979(10)01287-5
Posted:
February 24, 2010
Copyright of article:
Copyright
2010,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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