## Symmetry properties of singularities of $$C^\infty$$-functions.(English)Zbl 0384.58011

### MSC:

 58C25 Differentiable maps on manifolds 58K99 Theory of singularities and catastrophe theory 57R45 Singularities of differentiable mappings in differential topology
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### References:

 [1] Abraham, R., Robbin, J.: Transversal mappings and flows. New York, Amsterdam: Benjamin 1967 · Zbl 0171.44404 [2] Arnol’d, V.I.: Wave front evolution and equivariant Morse Lemma. Comm. Pure Appl. Math.29, 557-582 (1976) · Zbl 0343.58003 [3] Bochner, S.: Compact groups of differentiable transformations, Ann. Math.46, 372-381 (1945) · Zbl 0063.00487 [4] Bröcker, Th.: Differentiable germs and catastrophes. Lond. Math. Soc. Lecture Notes 17, Cambridge: University Press 1975 · Zbl 0302.58006 [5] Duistermaat, J.J.: (Review of [9]), Math. Rev. 53, No. 14532 (1977) [6] Hochschild, G.: The structure of Lie groups. San Francisco: Holden-Day 1965 · Zbl 0131.02702 [7] Milnor, J.: Singular points of complex hypersurfaces. Ann. Math. Studies 61, Princeton: University Press 1968 · Zbl 0184.48405 [8] Slodowy, P.: Einige Bemerkungen zur Entfaltung symmetrischer Funktionen, Math. Z.158, 157-170 (1978) · Zbl 0361.58003 [9] Wassermann, G.: Stability of unfoldings. Lecture Notes in Mathematics 393 Berlin, Heidelberg, New York: Springer 1974 · Zbl 0288.57017
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