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Generators for subgroups of wreath products

Published online by Cambridge University Press:  20 January 2009

J. A. Hulse
Affiliation:
Department of Mathematics, University of Edinburgh, James Clerk Maxwell Building, Edinburgh, EH9 3JZ.
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If G is a group, let

m(G)

be the least cardinal such that G may be generated by m(G) elements, and let

m,(G)

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1979

References

REFERENCES

(1) Bowers, J. F., Normal series of soluble groups of finite rank (Preprint).Google Scholar
(2) Kaloujnine, L. A., La structure des p-groupes de Sylow des groupes symétriques finis, Ann. Sci. École Norm. Sup. 65 (1948), 239276.Google Scholar
(3) Robinson, D. J. S., Finiteness conditions and generalized soluble groups, part 2 (Springer-Verlag, Berlin, 1972).Google Scholar
(4) Vol'Vačev, R. T., Sylow p-subgroups of the general linear group, Izv. Akad. Nauk SSSR Ser. Mat. 27 (1963), 10311054Google Scholar
= Amer. Math. Soc. Transl (2). 64 (1967), 216243.Google Scholar
(5) Weir, A. J., The Sylow subgroups of the symmetric groups, Proc. Amer. Math. Soc. 6 (1955), 534541.Google Scholar