Xf. Wang, A C-1 CLOSING LEMMA FOR EQUIVARIANT ENDOMORPHISMS UNDER ACTIONS OF FINITE-GROUPS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(9), 1998, pp. 950-959
A C-1 closing lemma is proved for equivariant endomorphisms under acti
ons of finite groups. Our result shows that, for such an endomorphism,
a nonwandering orbit together with its symmetric conjugates can be cl
osed up under a C-1-small equivariant perturbation.