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Minimal generating systems of a subgroup of SL(2, ℂ)
Published online by Cambridge University Press: 20 January 2009
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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.
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- Copyright © Edinburgh Mathematical Society 1988
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