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Minimal generating systems of a subgroup of SL(2, ℂ)

Published online by Cambridge University Press:  20 January 2009

Gerhard Rosenberger
Gerhard Rosenberger
Affiliation:
Fachbereich Mathematik, der Universität Dortmund, Postfach 50 05 00, 4600 Dortmund 50, Fed. Rep. of Germany
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Let H be any group. We call a cardinal number r the rank r(H) of H if H can be generated by a generating system X with cardinal number r but not by a generating system Y with cardinal number s less than r. Let r(H) be the rank of H.

We call a generating system X of H a minimal generating system (M.G.S.) of H if X has the cardinal number r(H).

In this note we prove the following.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 31 , Issue 2 , June 1988 , pp. 261 - 265
Copyright
Copyright © Edinburgh Mathematical Society 1988

References

REFERENCES

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