By James Roeder

Shaped in California in Dec of '42 and outfitted with P-39s. multiple 12 months later, the crowd was once thrown into strive against flying P-51 Mustangs opposed to the Luftwaffe. The heritage & wrestle operations from its formation to the tip of the conflict in Europe. Over a hundred and forty pictures, eight pages colour profiles, sixty four pages.

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REMARK. classes If F is Fuchsian, of conjugacy of Fuchsian groups with the same signature This assertion follows i) then R(F) consists as r. from the following: Two Fuchsian groups are quasiconformally equivalent if and only if they have the same signature. 2) For each ~ E M(~) there exists a unique normalized ~-conformal automorphism Bets This automorphism [4]). of U denoted by w conjugates (Ahlfors- F onto another Fuchsian group. 3) For ~,~ E M(F), ~ and v are equivalent (in T(r)) if and only if wwI~ = w~I~.

Bers-Greenberg manifold, ~ B(r). group G is called to Z, if and only if there is a automorphism f of ~ compatible with G such that fZ = Z and e(V) = f~yof -I, all y ~ G. The map f induces a biholomorphic by sending ~ E M(G~Z) w~of-IIz. equivalence mapping into the Beltrami It is easy to check classes automorphism and hence that th~ induces of M(G,Z) coefficient mapping of preserves a biholomorphic self- e* : %(G,z) - %(G,z) w h i c h depends o n l y on the automorphism B, i n f a c t the conjugacy class We thus d e f i n e o f 8 modulo i n n e r automorphisms o f G.

89 113-134. , for finitely generated 18 (1967), 23-41. Kleinian groups, J. 47 [5] L. Bets, Automorphic generated [6] I. Kra, (1972). forms Fuchsian groups, Automorphic Forms and Poincar6 Amer. series for infinitely J. A. 196-214. Benjamin 4. DEFORMATION SPACES* Irwin Kra SUNY at Stony Brook Let G be a (rich-elementary) group. finitely generated In this chapter we show how the set ~(G) "marked" Kleinian groups quasiconformally forms a finite dimensional the set ~(G) conformally This deformation completely surfaces (of finite equivalent to G and of Kleinian groups quasi- to G forms a normal complex space.