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For system (2), Ruan and Chen [9] have discussed its Painlevé properties and presented infinitely many truncated symmetries in terms of arbitrary functions of time t and variable y.
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One woman might opt for a totally symptom-free life, however short, because she is footloose and fancy free and values the present infinitely more than the shady, dubious future.
(i) For (omega in Omega ), the groups (G_omega ) and (widetilde{G}_omega ) are both infinite, and (widetilde{G}_omega ) is infinitely presented.
For (omega in Omega ), the groups (G_omega ) and (widetilde{G}_omega ) are both infinite, and (widetilde{G}_omega ) is infinitely presented.
(G_omega ) is infinite [68, Theorem 2.1] and (widetilde{G}_omega ) is infinitely presented [68, Theorem 6.2].
This holds in particular: when (G) is metabelian and infinitely presented, when (G = H rtimes mathbf{Z }) with (H) infinite locally finite, as in Example C.3.v.
Most of this is proved in [68]; more precisely: (i) (G_omega ) is infinite [68, Theorem 2.1] and (widetilde{G}_omega ) is infinitely presented [68, Theorem 6.2].
(mathrm{Met} ell,m)) is infinitely presented.
Note that (A_3) is infinitely presented.
By contrast, the second group is infinitely presented (Propositions B.8).
(ii) (mathrm{Met} ell,m)) is infinitely presented.
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