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T-systems of certain finite simple groups

Published online by Cambridge University Press:  24 October 2008

Martin J. Evans
Martin J. Evans
Affiliation:
Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487, U.S.A.
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Extract

Let Fn be the free group of rank n freely generated by x1, x2,…, xn and write d(G) for the minimal number of generators of the finitely generated group G.

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 113 , Issue 1 , January 1993 , pp. 9 - 22
Copyright
Copyright © Cambridge Philosophical Society 1993

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References

REFERENCES

[1]Bochert, H.. Ueber die Casse der transitiven Substitutionengruppen. Math. Ann. 49 (1897), 131–144.CrossRefGoogle Scholar
[2]Brenner, J. L. and Wiegold, James. Two-generator groups I. Michigan Math. J. 22 (1975), 53–64.CrossRefGoogle Scholar
[3]Brenner, J. L., Guralnick, R. M. and Wiegold, James. Two-generator groups III. Contemp. Math. 33 (1984), 82–89.CrossRefGoogle Scholar
[4]Brunner, A. M.. Transitivity systems of certain one-relator groups. In Proceedings of the Second International Conference on the Theory of Groups (Canberra, 1973), Lecture Notes in Math. vol. 372. (Springer-Verlag, 1974), PP. 131–140.Google Scholar
[5]Dunwoody, M. J.. On T-systems of groups. J. Austral. Math. Soc. 3 (1963), 172–179.CrossRefGoogle Scholar
[6]Dunwoody, M. J.. Nielsen transformations. In Computation Problems in Abstract Algebra. (Pergamon, 1970), pp. 45–46.Google Scholar
[7]Evans, M. J.. Presentations of groups involving more generators than are necessary. Proc. London Math. Soc. (3). to appear.Google Scholar
[8]Gilman, R.. Finite quotients of the automorphism group of a free group. Canad. J. Math. 29 (1977), 541–551.CrossRefGoogle Scholar
[9]Isaacs, I. M.. Character Theory of Finite Groups (Academic Press, 1976).Google Scholar
[10]Magnus, W., Karrass, A. and Solitar, D.. Combinatorial Group Theory (Interscience, 1966).Google Scholar
[11]Neumann, B. H. and Neumann, H.. Zwei Klassen charakteristischer Untergruppen und ihre Factorgruppen. Math. Nachr. 4 (1951), 106–125.Google Scholar
[12]Suzuki, M.. On a class of doubly transitive groups. Ann. of Math. (2) 75 (1962), 105–145.CrossRefGoogle Scholar
[13]Suzuki, M.. Group Theory, vol. 1 (Springer-Verlag, 1982).Google Scholar