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Book Review
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Book Information
Title:
Theory of finite simple groups
Additional book information:
by Gerhard Michler,
Cambridge University Press, Cambridge,
2006,
xii+662 pp.,
(hardcover)
$155.00,
ISBN 978-0-521-86625-5
References:
-
- 1.
- J.H. Conway, R.T. Curtis, S.P. Norton, R.A. Parker and R.A. Wilson, Atlas of Finite Groups, Oxford University Press, Oxford, 1985. MR 827219 (88g:20025)
- 2.
- -, ATLAS of finite group representations, http://web.mat.bham.ac.uk/atlas /index.html.
- 3.
- C. Jansen, K. Lux, R. Parker and R. Wilson, An Atlas of Brauer Characters, Clarendon Press, Oxford, 1995. MR 1367961 (96k:20016)
- 4.
- M. Aschbacher, The status of the classification of finite simple groups, Notices Amer. Math. Soc., 51 (2004), 736-740. MR 2072045
- 5.
- M. Aschbacher and S.D. Smith, The classification of quasithin groups. I. Structure of strongly quasithin
 -groups, Mathematical Surveys and Monographs, 111. American Mathematical Society, Providence, RI, 2004. xiv+477 pp. MR 2097623 (2005m:20038a) - 6.
- M. Aschbacher and S.D. Smith, The classification of quasithin groups. II. Main theorems: the classification of simple QTKE-groups., Mathematical Surveys and Monographs, 112. American Mathematical Society, Providence, RI, 2004, i-xii and 479-1221 pp. MR 2097624 (2005m:20038b)
- 7.
- The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.4.10; 2007,
(http://www.gap-system.org). - 8.
- R.L. Griess, The Friendly Giant, Invent. Math. 69 (1982), 1-102. MR 671653 (84m:20024)
- 9.
- D. Gorenstein, R. Lyons and R. Solomon, The classification of the finite simple groups. Number 6. Part IV. The special odd case., Mathematical Surveys and Monographs, 40.6. American Mathematical Society, Providence, RI, 2005. xii+529 pp. MR 2104668 (2005m:20039)
- 10.
- D.F. Holt, B. Eick and E.A. O'Brien, Handbook of Computational Group Theory, Chapman & Hall/CRC, 2005. MR 2129747 (2006f:20001)
- 11.
- W. Feit and J.G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775-1029. MR 0166261 (29:3538)
- 12.
- Z. Janko A new finite simple group with abelian
 -Sylow subgroups and its characterization, J. Algebra 3 (1966), 147-186. MR 0193138 (33:1359) - 13.
- Peter Kleidman and Martin Liebeck, The Subgroup Structure of the Finite Classical Groups, London Mathematical Society Lecture Note Series 129, Cambridge University Press, 1990. MR 1057341 (91g:20001)
- 14.
- J.J. Cannon and W. Bosma (Eds.) Handbook of Magma Functions, Edition 2.13, 2006, 4350 pages.
- 15.
- G.O. Michler, On the construction of the finite simple groups with a given centralizer of a
 -central involution, J. Algebra 234 (2000), 668-693. MR 1800751 (2002a:20022) - 16.
- R.A. Parker and R.A. Wilson, The computer construction of matrix groups and representations of finite groups over finite fields, J. Symbolic Computation 9 (1990), 583-590. MR 1075424 (91j:20001)
- 17.
- A. Seress, Permutation Group Algorithms, Chapman & Hall/CRC, 2005.
- 18.
- C.C. Sims, The existence and uniqueness of Lyons' group, in ``Finite Groups
 '', edited by T. Hagen and M.P. Hale and E.E. Shult, North Holland, 1973, 138-141. MR 0354881 (50:7358) - 19.
- R. Solomon, A brief history of the classification of finite simple groups, Bull. Amer. Math. Soc. (New Series) 38 (2001), 315-352. MR 1824893 (2002k:20002)
Additional Information:
Reviewer(s):
Derek
F.
Holt
Affiliation:
Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
Email:
D.F.Holt@warwick.ac.uk
Review Information:
Journal:
Bull. Amer. Math. Soc.
46
(2009),
151-156.
MSC
(2000):
Primary 20D08;
Secondary 20-04
DOI:
10.1090/S0273-0979-08-01215-9
PII:
S 0273-0979(08)01215-9
Posted:
September 15, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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