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A hundred years of finite group theory

Published online by Cambridge University Press:  01 August 2016

Peter M. Neumann
Peter M. Neumann*
Affiliation:
The Queen’s College, Oxford 0X1 4AW
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Extract

In the preface to the first edition (1897) of his book [1] on the theory of finite groups, William Burnside wrote: ‘The subject is one which has hitherto attracted but little attention in this country; it will afford me much satisfaction if, by means of this book, I shall succeed in arousing interest among English mathematicians in a branch of pure mathematics which becomes the more fascinating the more it is studied.’ He returned to this point in his presidential address delivered to the London Mathematical Society on 12 November 1908.

Type
Twentieth Century Mathematics
Information
The Mathematical Gazette , Volume 80 , Issue 487 , March 1996 , pp. 106 - 118
Copyright
Copyright © The Mathematical Association 1996

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References

1. Burnside, W., Theory of groups of finite order, Cambridge, (1897) (second, much changed, edition 1911; reprinted by Dover, New York 1955).Google Scholar
2. Burnside, W., On the theory of groups of finite order, Proc. London Math. Soc. (Ser. 2) 7 (1908) p. 17.Google Scholar
3. Nicholson, Julia, The development and understanding of the concept of quotient group, Historia Math. 20 (1993) pp. 68–88.CrossRefGoogle Scholar
4. Collected works of Philip Hall, (edited by Gruenberg, K. W. and Roseblade, J. E.) Clarendon Press, Oxford (1988).Google Scholar
5. Roseblade, J. E., Philip Hall, Bull. London Math. Soc. 16 (1984) pp. 603–626; reprinted in [4], pp. 3–26.Google Scholar
6. Doerk, Klaus and Hawkes, Trevor, Finite soluble groups, Walter de Gruyter, Berlin (1992).Google Scholar
7. Jordan, Camille, Traité des Substitutions et des équations algébriques, Gauthier-Villars, Paris (1870).Google Scholar
8. Neumann, Peter M., Jordan’s Traité des Substitutions (review), Math. Reviews, MR94c 01039 (1994).Google Scholar
9. Dickson, L. E., Linear groups, Teubner-Verlag, Leipzig (1900); reprinted by Dover, New York (1958).Google Scholar
10. Feit, Walter and Thompson, John G., Solvability of groups of odd order, Pacific J. Maths 13 (1963) pp. 775–1029.Google Scholar
11. Bender, Helmut and Glauberman, George, Local analysis for the odd order theorem, London Math. Soc. Lect. Note Ser., 188, Cambridge (1994).Google Scholar
12. Conway, J. H., Curtis, R. T., Norton, S. P., Parker, R. A. and Wilson, R. A., Atlas of finite groups, Clarendon Press (1985).Google Scholar
13. Gorenstein, Daniel, Finite simple groups and their classification, Israel J. Math. 19 (1974) pp. 5–66.CrossRefGoogle Scholar
14. Gorenstein, Daniel, Lyons, Richard and Solomon, Ronald, The classification of the finite simple groups, Amer. Math. Soc, Providence, RI (1994).Google Scholar