Book Review
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Book Information:
Author:
Franz Georg Timmesfeld
Title:
Abstract root subgroups and simple groups of Lie-type
Additional book information:
Birkhäuser-Verlag,
Basel, Boston, Berlin,
2001,
xiii + 389 pp.,
ISBN 3-7643-6532-3,
$125.00$
1. F. Buekenhout and E. Shult, On the foundations of polar geometry, Geom. Dedicata 3 (1974), 155-170. MR 0350599
2. A. Cohen and B. N. Cooperstein, A characterization of some geometries of exceptional Lie type, Geom. Dedicata 15 (1983), 73-105. MR 0732544
3. H. Cuypers and J. I. Hall, The classification of 3-transposition groups with trivial centers, in Groups, Combinatorics and Geometry, Martin Liebeck, ed., London Math. Soc. Lecture Notes 165 (1992), 121-138. MR 1200255
4. B. Fischer, Finite groups generated by 3-transpositions, I., Inventiones Math 13 (1971), 232-246. MR 0294487
5. R. Griess, The friendly giant, Inventiones Math 69 (1982). 1-102. MR 0671653
6. P. Johnson, Polar spaces of arbitrary rank, Geom. Dedicata 35 (1990), 229-250. MR 1066567
7. J. Tits, Buildings of Spherical Type and Finite BN-Pairs, Lecture Notes in Mathematics, vol. 386, Springer-Verlag, Berlin-Heidelberg-New York, 1974. MR 0470099
8. J. Tits and R. Weiss, Moufang Polygons, Springer-Verlag, Heidelberg, New York, Berlin, 2002.
9. O. Veblen and J. W. Young, Projective Geometry, Blaisdell, New York, 1910. MR 0179666; MR 31:3912b
10. F. D. Veldkamp, Polar geometry, I-V, Proc. Kon. Akad. Wet A62 (1959), 512-551 and A63, 207-212 (= Indag. Math 21 and 22). MR 0125472
- 1.
- F. Buekenhout and E. Shult, On the foundations of polar geometry, Geom. Dedicata 3 (1974), 155-170. MR 0350599
- 2.
- A. Cohen and B. N. Cooperstein, A characterization of some geometries of exceptional Lie type, Geom. Dedicata 15 (1983), 73-105. MR 0732544
- 3.
- H. Cuypers and J. I. Hall, The classification of 3-transposition groups with trivial centers, in Groups, Combinatorics and Geometry, Martin Liebeck, ed., London Math. Soc. Lecture Notes 165 (1992), 121-138. MR 1200255
- 4.
- B. Fischer, Finite groups generated by 3-transpositions, I., Inventiones Math 13 (1971), 232-246. MR 0294487
- 5.
- R. Griess, The friendly giant, Inventiones Math 69 (1982). 1-102. MR 0671653
- 6.
- P. Johnson, Polar spaces of arbitrary rank, Geom. Dedicata 35 (1990), 229-250. MR 1066567
- 7.
- J. Tits, Buildings of Spherical Type and Finite BN-Pairs, Lecture Notes in Mathematics, vol. 386, Springer-Verlag, Berlin-Heidelberg-New York, 1974. MR 0470099
- 8.
- J. Tits and R. Weiss, Moufang Polygons, Springer-Verlag, Heidelberg, New York, Berlin, 2002.
- 9.
- O. Veblen and J. W. Young, Projective Geometry, Blaisdell, New York, 1910. MR 0179666; MR 31:3912b
- 10.
- F. D. Veldkamp, Polar geometry, I-V, Proc. Kon. Akad. Wet A62 (1959), 512-551 and A63, 207-212 (= Indag. Math 21 and 22). MR 0125472
Review Information:
Reviewer:
Richard Weiss
Affiliation:
Tufts University
Email:
rweiss@tufts.edu
Journal:
Bull. Amer. Math. Soc.
40 (2003), 151-154
Published electronically:
October 17, 2002
Review copyright:
© Copyright 2002
American Mathematical Society