On Co-Hopfian nilpotent groups

Bulletin of the London Mathematical Society

Volumn 35, Issue 6, 2003, Pages 805-811

  Belegradek, Igor ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242275252     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024609303002480     Document Type: Article

References (24)

1. J. M. ANCOCHEA and R CAMPOAMOR, 'Characteristically nilpotent Lie algebras: a survey', Extracta Math. 16 (2001) 153-210.
2. I. BELEGKADEK, 'On Mostow rigidity for variable negative curvature', Topology 41 (2002) 341-361.
3. N. BOURBAKI, Lie groups and Lie algebras (Springer, 1998) Chapters 1-3 (translated from the French; reprint of the 1989 English translation).
4. R. M. BRYANT and J. R. J. GROVES, 'Algebraic groups of automorphisms of nilpotent groups and Lie algebras', J. London Math. Soc. 33 (1986) 453-466.
5. C. CHEVALLEY, Théorie des groupes de Lie, tome II, 'Groupes algébriques' (Hermann & Cie., Paris, 1951).
6. C. CHEVALLEY, Théorie des groupes de Lie, tome III, 'Théorèmes généraux sur les algèbres de Lie' (Hermann & Cie, Paris, 1955).
7. L. J. CORWIN and F. P. GREENLEAF, Representations of nilpotent Lie groups and their applications, part I, 'Basic theory and examples' (Cambridge University Press, 1990).
8. T. DELZANT and L. POTYAGAILO, 'Endomorphisms of Kleinian groups', MPI preprint, 2000.
9. J. DIXMIER and W. G LISTER, 'Derivations of nilpotent Lie algebras', Proc. Amer. Math. Soc. 8 (1957) 155-158.
10. J. L. DYER, 'A nilpotent Lie algebra with nilpotent automorphism group', Bull. Amer. Math. Soc. 76 (1970) 52-56.
11. G. FAVRE, 'Une algèbre de Lie caractéristiquement nilpotente de dimension 7', C. R. Acad. Sci. Paris Sér. A-B 274 (1972) A1338-A1339.
12. M. GROMOV, 'Volume and bounded cohomology', Inst. Hautes Études Sci. Publ. Math. 56 (1982) 5-99.
13. F. GRUNEWALD and D. SEGAL, 'Reflections on the classification of torsion-free nilpotent groups', Group theory. Essays for Philip Hall (Academic Press, 1984) 121-158.
14. G. LEGER and S. TÔGÔ, 'Characteristically nilpotent Lie algebras', Duke Math. J. 26 (1959) 623-628.
15. A. G. MAKANIN, 'On the compressibility of torsion-free finitely generated nilpotent groups', Vestnik Moskov. Univ. Ser. I Mat. Mekh. (1991) 36-41.
16. A. I MAL'CEV, 'On a class of homogeneous spaces', Izv. Akad. Nauk. SSSR. Ser. Mat. 13 (1949) 9-32.
17. A. I MAL'CEV, 'Nilpotent torsion-free groups', Izv. Akad. Nauk. SSSR. Ser. Mat. 13 (1949) 201-212.
18. V. V. MOROZOV, 'Classification of nilpotent Lie algebras of sixth order', Izv. Vysš. Učebn. Zaved. Matematika 4 (1958) 161-171.
19. L. POTYAGAILO and S. C. WANG, 'On the co-Hopficity of 3-manifold groups', Algebra i Analiz 11 (1999) 194-220.
20. G. PRASAD, 'Discrete subgroups isomorphic to lattices in semisimple Lie groups', Amer. J. Math. 98 (1976) 241-261.
21. J. ROITBERG, 'Rationally equivalent nilpotent groups and spaces', Proc. Amer. Math. Soc. 125 (1997) 41-45.
22. D. SEGAL, Polycyclic groups (Cambridge University Press, 1983).
23. Z. SELA, 'Structure and rigidity in (Gromov) hyperbolic groups and discrete groups in rank 1 Lie groups, II', Geom. Funct. Anal 7 (1997) 561-593.
24. G. C. SMITH, 'Compressibility in nilpotent groups', Bull. London Math. Soc. 17 (1985) 453-457.