Geodesic
On the group of conjugating automorphisms of a~free group
Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 92-108.

Voir la notice de l'article provenant de la source Math-Net.Ru

The group of conjugating automorphisms of a free group and certain subgroups of this group, namely, the group of McCool basis-conjugating automorphisms and the Artin braid group are considered. The Birman theorem on the representation of a braid group by matrices is sharpened. 
@article{MZM_1996_60_1_a8,
     author = {A. G. Savushkina},
     title = {On the group of conjugating automorphisms of a~free group},
     journal = {Matemati\v{c}eskie zametki},
     pages = {92--108},
     publisher = {mathdoc},
     volume = {60},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a8/}
}
TY  - JOUR
AU  - A. G. Savushkina
TI  - On the group of conjugating automorphisms of a~free group
JO  - Matematičeskie zametki
PY  - 1996
SP  - 92
EP  - 108
VL  - 60
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a8/
LA  - ru
ID  - MZM_1996_60_1_a8
ER  - 
%0 Journal Article
%A A. G. Savushkina
%T On the group of conjugating automorphisms of a~free group
%J Matematičeskie zametki
%D 1996
%P 92-108
%V 60
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a8/
%G ru
%F MZM_1996_60_1_a8
A. G. Savushkina. On the group of conjugating automorphisms of a~free group. Matematičeskie zametki, Tome 60 (1996) no. 1, pp. 92-108. http://geodesic.mathdoc.fr/item/MZM_1996_60_1_a8/

[1] McCool J., “On basis-conjugating automorphisms of free groups”, Canad. J. Math., 38:6 (1986), 1525–1529 | MR | Zbl

[2] Humphries S. P., “On weakly distinguished bases and free generating sets of free group”, Quart. J. Math., 2:36 (1985), 215–219 | DOI | MR

[3] Coxeter H. S., Moser W. O., Generators and relations for discrete groups, Springer-Verlag, New York, 1972 | Zbl

[4] Magnus V., Karras A., Soliter D., Kombinatornaya teoriya grupp, Nauka, M., 1974 | Zbl

[5] Artin E., “Theorie der Zopfe”, Abh. Math., Sem. Univ. Hamburg, 4, 1926, 47–72

[6] Markov A. A., “Osnovy algebraicheskoi teorii kos”, Tr. MIAN, 16, Izd-vo Akademii nauk SSSR, L.–M., 1945, 3–53 | MR | Zbl

[7] Birman J., Braids, Links, Mapping Class Groups, Ann. Math. Studies, 82, Princeton Univ. Press, Princeton, 1975 | Zbl

[8] Kurosh A. G., Teoriya grupp, Nauka, M., 1967 | Zbl

[9] Kourovskaya tetrad. (Nereshennye voprosy teorii grupp), 9-e izd., Nauka, Novosibirsk, 1984

[10] Gassner B. J., “On braid group”, Abh. Math., Sem. Univ. Hamburg, 25, 1961, 10–22 | MR | Zbl

[11] Magnus W., Peluso A., “On knot groups”, Comm. Pure Appl. Math., 20 (1967), 749–770 | DOI | MR | Zbl