Skip to Main Content

Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 2798320
Full text of review: PDF   This review is available free of charge.
Book Information:

Title: Theory of finite simple groups
Additional book information: by Gerhard Michler, Cambridge University Press, Cambridge, 2006, xii+662 pp., ISBN 978-0-521-86625-5, $155.00$, hardcover

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

  • J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, $\Bbb {ATLAS}$ of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219
    • 2.
    -, ATLAS of finite group representations, http://web.mat.bham.ac.uk/atlas /index.html.
  • Christoph Jansen, Klaus Lux, Richard Parker, and Robert Wilson, An atlas of Brauer characters, London Mathematical Society Monographs. New Series, vol. 11, The Clarendon Press, Oxford University Press, New York, 1995. Appendix 2 by T. Breuer and S. Norton; Oxford Science Publications. MR 1367961
  • Michael Aschbacher, The status of the classification of the finite simple groups, Notices Amer. Math. Soc. 51 (2004), no. 7, 736–740. MR 2072045
  • Michael Aschbacher and Stephen D. Smith, The classification of quasithin groups. I, Mathematical Surveys and Monographs, vol. 111, American Mathematical Society, Providence, RI, 2004. Structure of strongly quasithin $K$-groups. MR 2097623, DOI 10.1090/surv/111
  • Michael Aschbacher and Stephen D. Smith, The classification of quasithin groups. I, Mathematical Surveys and Monographs, vol. 111, American Mathematical Society, Providence, RI, 2004. Structure of strongly quasithin $K$-groups. MR 2097623, DOI 10.1090/surv/111
    • 7.
    The GAP Group, GAP - Groups, Algorithms, and Programming, Version 4.4.10; 2007, (http://www.gap-system.org).
  • Robert L. Griess Jr., The friendly giant, Invent. Math. 69 (1982), no. 1, 1–102. MR 671653, DOI 10.1007/BF01389186
  • Daniel Gorenstein, Richard Lyons, and Ronald Solomon, The classification of the finite simple groups. Number 6. Part IV. The special odd case, Mathematical Surveys and Monographs, vol. 40, American Mathematical Society, Providence, RI, 2005. MR 2104668, DOI 10.1090/surv/040.6
  • Derek F. Holt, Bettina Eick, and Eamonn A. O’Brien, Handbook of computational group theory, Discrete Mathematics and its Applications (Boca Raton), Chapman & Hall/CRC, Boca Raton, FL, 2005. MR 2129747, DOI 10.1201/9781420035216
  • Walter Feit and John G. Thompson, Solvability of groups of odd order, Pacific J. Math. 13 (1963), 775–1029. MR 166261
  • Zvonimir Janko, A new finite simple group with abelian Sylow $2$-subgroups and its characterization, J. Algebra 3 (1966), 147–186. MR 193138, DOI 10.1016/0021-8693(66)90010-X
  • Peter Kleidman and Martin Liebeck, The subgroup structure of the finite classical groups, London Mathematical Society Lecture Note Series, vol. 129, Cambridge University Press, Cambridge, 1990. MR 1057341, DOI 10.1017/CBO9780511629235
    • 14.
    J.J. Cannon and W. Bosma (Eds.) Handbook of Magma Functions, Edition 2.13, 2006, 4350 pages.
  • Gerhard O. Michler, On the construction of the finite simple groups with a given centralizer of a 2-central involution, J. Algebra 234 (2000), no. 2, 668–693. Special issue in honor of Helmut Wielandt. MR 1800751, DOI 10.1006/jabr.2000.8549
  • R. A. Parker and R. A. Wilson, The computer construction of matrix representations of finite groups over finite fields, J. Symbolic Comput. 9 (1990), no. 5-6, 583–590. Computational group theory, Part 1. MR 1075424, DOI 10.1016/S0747-7171(08)80075-2
    • 17.
    A. Seress, Permutation Group Algorithms, Chapman & Hall/CRC, 2005.
  • Charles C. Sims, The existence and uniqueness of Lyons’ group, Finite groups ’72 (Proc. Gainesville Conf., Univ. Florida, Gainesville, Fla., 1972) North-Holland Math. Studies, Vol. 7, North-Holland, Amsterdam, 1973, pp. 138–141. MR 0354881
  • Ronald Solomon, A brief history of the classification of the finite simple groups, Bull. Amer. Math. Soc. (N.S.) 38 (2001), no. 3, 315–352. MR 1824893, DOI 10.1090/S0273-0979-01-00909-0
    • Review Information:

    Reviewer: Derek F. Holt
    Affiliation: Mathematics Institute, University of Warwick, Coventry, CV4 7AL, United Kingdom
    Email: D.F.Holt@warwick.ac.uk
    Journal: Bull. Amer. Math. Soc. 46 (2009), 151-156
    DOI: https://doi.org/10.1090/S0273-0979-08-01215-9
    Published electronically: September 15, 2008
    Review copyright: © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.