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Equivariant outer space and automorphisms of free-by-finite groups

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Commentarii Mathematici Helvetici

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References

  1. Alperin, R. andBass, H. Length functions of group actions on A-trees. Gersten, S. M., et al.,Combinatorial Group Theory and Topology, Princeton: Princeton University Press; 1987: 265–378.

    Google Scholar 

  2. Bridson, M.,Geodesics and curvature in metric simplicial complexes. Ghys, E., Haefliger, A. and Verjovsky A.Group Theory from a Geometrical Viewpoint, Singapore: World Scientific, 1991: 373–463.

    Google Scholar 

  3. Collins, D. J.,The automorphism group of a free product of finite groups. Arch. Math. (Basel); 1988;50 (5): 385–390.

    Article  MathSciNet  MATH  Google Scholar 

  4. Collins, D. J.,Cohomological dimension and symmetric automorphisms of a free group. Comment. Math. Helv.: 1989;64 (1): 44–61.

    Article  MathSciNet  MATH  Google Scholar 

  5. Culler, M.Finite groups of outer automorphisms of a free group. Appel, K. I., Ratcliffe, J. G. and Schupp, P. E.Contributions to Group Theory. Providence, R.I.: American Math. Soc.: 1984;33: 197–207 (Compemporary Math.).

  6. Culler, M. andMorgan, J. W.,Group actions on R-trees, Proc. Lond. Math. Soc.; 1987;55: 571–604.

    Article  MATH  Google Scholar 

  7. Culler, M. andVogtmann, K.,Moduli of graphs and automorphisms of free groups, Invent. Math.; 1986;84: 91–119.

    Article  MathSciNet  MATH  Google Scholar 

  8. Dicks, W. andDunwoody, M. J. Groups acting on graphs. Cambridge: Cambridge University Press; 1989.

    MATH  Google Scholar 

  9. Kalajdžievski, S.,Automorphism group of a free group: centralizers and stabilizers, J. Algebra; 1992;150 (2): 435–502.

    Article  MathSciNet  MATH  Google Scholar 

  10. Karrass, A., Pietrowski, A. andSolitar, D. Finite and infinite cyclic extensions of free groups. J. Austral. Math. Soc.; 1973;16: 458–466.

    Article  MathSciNet  MATH  Google Scholar 

  11. Krstić, S.,Actions of finite groups on graphs and related automorphisms of free groups, J. of Algebra; 1989;24 (1): 119–138.

    Article  MathSciNet  MATH  Google Scholar 

  12. Krstić, S.,Finitely generated virtually free groups have finitely presented automorphism group. Proc. London Math. Soc.; 1992;64 (1): 49–69.

    Article  MathSciNet  MATH  Google Scholar 

  13. McCool, J.,The automorphism groups of finite extensions of free groups. Bull. London Math. Soc.; 1988;20: 131–135.

    Article  MathSciNet  MATH  Google Scholar 

  14. McCullough, D. andMiller, A. In preparation.

  15. Quillen, D.,Homotopy properties of the poset of p-subgroups of a finite group, Advances in Math.; 1978;28: 101–128.

    Article  MathSciNet  MATH  Google Scholar 

  16. Parry, W. Axioms for translation length functions. Alperin, R. C.Arboreal Group Theory. New York: Springer-Verlag; 1991: 295–330.

    Chapter  Google Scholar 

  17. Serre, J.-P. Trees. Berlin: Springer-Verlag; 1980. Translation of “Arbres, Amalgames, SL 2”, Asterisque,46, 1977.

    Book  MATH  Google Scholar 

  18. Smillie, J. andVogtmann, K.,A generating function for the Euler characteristic of Out(F n) J. Pure and Applied Algebra; 1987;44: 329–348.

    Article  MathSciNet  MATH  Google Scholar 

  19. White, T. Fixed points of finite groups of free group automorphisms, to appear in Proc. A.M.S.

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Partially supported by Science Fund of Serbia grant #0401A, through Matematički Institut

Partially supported by NSF grant #DMS-8702070

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Krstić, S., Vogtmann, K. Equivariant outer space and automorphisms of free-by-finite groups. Commentarii Mathematici Helvetici 68, 216–262 (1993). https://doi.org/10.1007/BF02565817

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