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1 Introduction
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2 The non-dissipative case
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3 Overstable modes
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4 On the validity of heuristic arguments
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5 Can the Pitts & Tayler instability sustain a dynamo?
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6 3D numerical simulations of the MHD instabilities
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7 Confronting the numerical simulations with the analytical model
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8 Looking for dynamo action
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9 Why do our results differ from those of Braithwaite?
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10 Conclusion
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Appendix A: Dispersion relation and energy equation
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References
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