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The classical modular group as a subgroup of GL(2, ℤ)†
Published online by Cambridge University Press: 18 May 2009
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The title is somewhat misleading, since the classical modular group Г= PSL(2, ℤ) is certainly not a subgroup of GL(2, ℤ). What is meant of course are the faithful representations of F as a subgroup of GL(2, ℤ), where Г is to be thought of as the free product of a cyclic group of order 2 and a cyclic group of order 3. No such representation is possible as a subgroup of SL(2, ℤ); it is necessary to have matrices of determinant −1 as well.
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- Copyright © Glasgow Mathematical Journal Trust 1985
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