Finite Group Actions on P ” ( C )
نویسندگان
چکیده
Consider the question: which finite groups operate as symmetries of the complex projective plane P’(C)? Any finite subgroup of &X,(C) acts as a group of collineations and these give the linear models. The list of such groups is relatively short [MBD] but contains, for example, a groups of rank < 2, subgroups of U(Z), and the simple groups A,, A,, an PSL(F,). It turns out that these linear groups are the only ones which ca operate topologicaliy on P’(C) with reasonable ~~avior near the s~~~uIar set. An action is called ~“locally linear” if each singular point has an invariant neighborhood which is equivariantly homeomur~bic to a ~eigbborhood of 0 in a (real) representation space.
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