Book Review
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MathSciNet review:
1567330
Full text of review:
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Book Information:
Authors:
N. L. Biggs and
A. T. White
Title:
Permutation groups and combinatorial structures
Additional book information:
London Mathematical Society Lecture Note Series No. 33, Cambridge Univ. Press, New York and London, 1979, viii + 140 pp., $13.95.
Norman Biggs, Finite groups of automorphisms, London Mathematical Society Lecture Note Series, vol. 6, Cambridge University Press, London-New York, 1971. MR 0327563
Peter J. Cameron, Parallelisms of complete designs, London Mathematical Society Lecture Note Series, No. 23, Cambridge University Press, Cambridge-New York-Melbourne, 1976. MR 0419245
P. J. Cameron and J. H. van Lint, Graph theory, coding theory and block designs, London Mathematical Society Lecture Note Series, No. 19, Cambridge University Press, Cambridge-New York-Melbourne, 1975. MR 0406822
L. Carlitz, A theorem on permutations in a finite field, Proc. Amer. Math. Soc. 11 (1960), 456–459. MR 117223, DOI 10.1090/S0002-9939-1960-0117223-6
R. D. Carmichael, Tactical Configurations of Rank Two, Amer. J. Math. 53 (1931), no. 1, 217–240. MR 1506812, DOI 10.2307/2370885
Donald G. Higman and Charles C. Sims, A simple group of order $44,352,000$, Math. Z. 105 (1968), 110–113. MR 227269, DOI 10.1007/BF01110435
Heinz Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Lecture Notes in Mathematics, No. 84, Springer-Verlag, Berlin-New York, 1969 (German). MR 0241518
8. E. Mathieu, Mémoire sur l'étude des fonctions de plusieurs quantités, J. Math. Pures Appl. 6 (1861), 241-323.
9. E. Mathieu, Sur la fonction cinq fois transitive de 24 quantités, J. Math. Pures Appl. 18 (1873), 24-46.
Helmut Wielandt, Finite permutation groups, Academic Press, New York-London, 1964. Translated from the German by R. Bercov. MR 0183775
11. E. Witt, Die 5-fach transitiven Gruppen von Mathieu, Abh. Hamburg 12 (1938), 256-264.
- 1.
- N. L. Biggs, Finite groups of automorphisms, London Mathematical Society Lecture Note Series no. 6, Cambridge Univ. Press, Cambridge, 1971. MR 0327563
- 2.
- P. J. Cameron, Parallelisms of designs, London Mathematical Society Lecture Note Series no. 23, Cambridge Univ. Press, Cambridge, 1976. MR 419245
- 3.
- P. J. Cameron and J. H. van Lint, Graph theory, coding theory and block designs, London, Mathematical Society Lecture Note Series no. 19, Cambridge Univ. Press, Cambridge, 1975. MR 406822
- 4.
- L. Carlitz, A theorem on permutations in a finite field, Proc. Amer. Math. Soc. 11 (1960), 456-459. MR 117223
- 5.
- R. D. Carmichael, Tactical configurations of rank two, Amer. J. Math. 53 (1931), 217-240. MR 1506812
- 6.
- D. G. Higman and C. C. Sims, A simple group of order 44,352,000, Math. Z. 105 (1968), 110-113. MR 227269
- 7.
- H. Lüneburg, Transitive Erweiterungen endlicher Permutationsgruppen, Lecture Notes in Math., vol. 84, Springer-Verlag, Berlin-Heidelberg-New York, 1969. MR 241518
- 8.
- E. Mathieu, Mémoire sur l'étude des fonctions de plusieurs quantités, J. Math. Pures Appl. 6 (1861), 241-323.
- 9.
- E. Mathieu, Sur la fonction cinq fois transitive de 24 quantités, J. Math. Pures Appl. 18 (1873), 24-46.
- 10.
- H. Wielandt, Finite permutation groups, Academic Press, New York, 1964. MR 183775
- 11.
- E. Witt, Die 5-fach transitiven Gruppen von Mathieu, Abh. Hamburg 12 (1938), 256-264.
Review Information:
Reviewer:
William M. Kantor
Journal:
Bull. Amer. Math. Soc.
5 (1981), 197-201
DOI:
https://doi.org/10.1090/S0273-0979-1981-14944-2