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Affine Kac-Moody groups : bounded presentations and subgroup growth

This thesis studies affine Kac-Moody groups G(q) defined over a finite field Fq, where q is a power of a prime p, and the related Chevalley groups G(Fp([[t]]). The groups e G(q) are finitely presented but their standard presentation is infinite. In the first half of the thesis we construct bounded presentations for these groups. The second half of the thesis studies the subgroup growth of the congruence subgroups of G(Fp([[t]]), which are examples of pro-p groups.