Free products with amalgamation of finite groups and finite outer automorphism groups of free groups

Bruno Zimmermann

Rendiconti del Seminario Matematico della Università di Padova (1998)

  • Volume: 99, page 83-98
  • ISSN: 0041-8994

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Zimmermann, Bruno. "Free products with amalgamation of finite groups and finite outer automorphism groups of free groups." Rendiconti del Seminario Matematico della Università di Padova 99 (1998): 83-98. <http://eudml.org/doc/108478>.

@article{Zimmermann1998,
author = {Zimmermann, Bruno},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite subgroups; maximal subgroups; free products with amalgamation; subgroups of finite index; outer automorphism groups of free groups},
language = {eng},
pages = {83-98},
publisher = {Seminario Matematico of the University of Padua},
title = {Free products with amalgamation of finite groups and finite outer automorphism groups of free groups},
url = {http://eudml.org/doc/108478},
volume = {99},
year = {1998},
}

TY - JOUR
AU - Zimmermann, Bruno
TI - Free products with amalgamation of finite groups and finite outer automorphism groups of free groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1998
PB - Seminario Matematico of the University of Padua
VL - 99
SP - 83
EP - 98
LA - eng
KW - finite subgroups; maximal subgroups; free products with amalgamation; subgroups of finite index; outer automorphism groups of free groups
UR - http://eudml.org/doc/108478
ER -

References

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  1. [C] M. Conder, Generators for alternating and symmetric groups, J. London Math. Soc., 22 (1980), pp. 75-86. Zbl0427.20023MR579811
  2. [DM] D. Djokovic - G. Miller, Regular groups of automorphisms of cubic graphs, J. Comb. Theory, Series B, 29 (1980), pp. 195-230. Zbl0385.05040MR586434
  3. [G] D.M. Goldschmidt, Automorphisms of trivalent graphs, Ann. Math., 111 (1980), pp. 377-406. Zbl0475.05043MR569075
  4. [KPS1] A. Karras - A. Pietrowsky - D. Solitar, Finite and infinite extensions of free groups, J. Austr. Math. Soc., 16 (1973), pp. 458-466. Zbl0299.20024MR349850
  5. [KPS2] A. Karras - A. Pietrowsky - D. Solitar, Automorphisms of a free product with an amalgamated subgroup, Contemp. Math., 33 (1984), pp. 328-340. Zbl0552.20023MR767119
  6. [M] V.D. Mazurov, Finite groups of outer automorphisms of free groups, Siberian Math. J., 32 (1991), pp. 796-811. Zbl0792.20023MR1155806
  7. [S] J.P. Serre, Trees, Springer, Berlin, Heidelberg, New York (1980). Zbl0548.20018MR607504
  8. [Si] D. Singerman, PSL(2, q) as an image of the extended modular group with applications to group actions on surfaces, Proc. Edinb. Math. Soc., 30 (1987), pp. 143-151. Zbl0588.20029MR879440
  9. [SW] P. Scott - T. Wall, Topological methods in group theory, in Homological Group Theory, London Math. Soc. Lecture Notes, 36, pp. 137-303, Cambridge University Press (1979). Zbl0423.20023MR564422
  10. [WZ] S. Wang - B. Zimmermann, The maximum order of finite groups of outer automorphisms of free groups, Math. Z., 216 (1994), pp. 83-87. Zbl0795.20013MR1273467
  11. [Z1] B. Zimmermann, Finite groups of outer automorphisms offree groups, Glasgow Math. J., 38 (1996), pp. 275-282. Zbl0886.20028MR1417356
  12. [Z2] B. Zimmermann, Generators and relations for discontinuous groups, A. Barlotti et al. (eds.), Generators and Relations in Groups and Geometries, pp. 407-436, Kluwer Academic Publishers (1991). Zbl0743.20025MR1206922
  13. [Z3] B. Zimmermann, Finite group actions on handlebodies and equivariant Heegaard genus for 3-manifolds, Topology Appl., 43 (1992), pp. 263-274. Zbl0817.57016MR1158872

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