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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

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Full text of review: PDF   This review is available free of charge.
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, $125.00$

References [Enhancements On Off] (What's this?)

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
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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
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J. Tits and R. Weiss, Moufang Polygons, Springer-Verlag, Heidelberg, New York, Berlin, 2002.
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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