|
|
|
References
|
|
|
1. |
Birman J. S., Braids, links and mapping class groups, Princeton Univ. Press, Princeton; Tokyo, 1974 |
2. |
Burau W., “Uber Zopfgruppen und gleichsinnig verdrillte Verkettungen”, Abh. Math. Semin. Hamburg Univ, 11 (1936), 179–186 |
3. |
Moody J. A., “The Burau representation of the braid group $B_n$ is unfaithful for large $n$”, Bull. Amer. Math. Soc., 25:2 (1991), 379–384 |
4. |
Long D. D., Paton M., “The Burau representation is not faithful for $n\ge 5$”, Topology, 32:2 (1993), 439–447 |
5. |
Bigelow S., “The Burau representation is not faithful for $n\ge 6$”, Geom. Topology, 3 (1999), 397–404 |
6. |
Lawrence R. J., “Homological representation of the Hecke algebra”, Comm. Math. Phys., 135:1 (1990), 141–191 |
7. |
Krammer D., “Braid groups are linear”, Ann. of Math. (2), 155:1 (2002), 131–156 |
8. |
Bigelow S., “Braid groups are linear”, J. Amer. Math. Soc., 14 (2001), 471–486 |
9. |
Formanek E., Procesi C., “The automorphism groups of a free group is not linear”, J. Algebra, 149:2 (1992), 494–499 |
10. |
Bardakov V. G., “Stroenie gruppy sopryagayuschikh avtomorfizmov”, Algebra i logika, 42:5 (2003), 515–541 |
11. |
Kourovskaya tetrad., Nereshennye voprosy teorii grupp, 15-e izd, In-t matematiki SO RAN, Novosibirsk, 2002 |
12. |
Dyer J. L., Formanek E., Grossman E. K., “On the linearity of automorphism groups of free groups”, Arch. Math., 38:5 (1982), 404–409 |
13. |
Bardakov V. G., Neschadim M. V., “Nekotorye svoistva grupp kos kompaktnykh orientiruemykh 2-mnogoobrazii”, IV Mezhdunar. algebr. konf., posvyaschennaya 60-letiyu professora Yu. I. Merzlyakova, Novosibirsk, 2000, 9–13 |
14. |
Bigelow S. J., Budney R. D., “The mapping class group of a genus two surface is linear”, Algebr. Geom. Topoljgy, 1 (2001), 699–708 |
15. |
Savushkina A. G., “O gruppe sopryagayuschikh avtomorfizmov svobodnoi gruppy”, Mat. zametki, 60:1 (1996), 92–108 |
16. |
Fadell E., Van Buskirk J., “The braid groups of $E^2$ and $S^2$”, Duke. Math. J., 29:2 (1962), 243–258 |
17. |
Gillette R., Van Buskirk J., “The word problem and consequences for the braid groups and mapping class groups of the 2-sphere”, Trans. Amer. Math. Soc., 131:2 (1968), 277–296 |
18. |
Maltsev A. I., “Ob izomorfnom predstavlenii beskonechnykh grupp matritsami”, Mat. sb., 8:3 (1940), 405–422 |
19. |
Kargapolov M. I., Merzlyakov Yu. I., Osnovy teorii grupp, 4-e izd, Nauka, M., 1996 |
20. |
Zinno M. G., “On Krammer's representation of the braid group”, Math. Ann., 321:1 (2000), 197–211 |