Finitely generated nilpotent groups with isomorphic finite quotients
HTML articles powered by AMS MathViewer
- by P. F. Pickel PDF
- Bull. Amer. Math. Soc. 77 (1971), 216-219
References
- Louis Auslander and Gilbert Baumslag, Automorphism groups of finitely generated nilpotent groups, Bull. Amer. Math. Soc. 73 (1967), 716–717. MR 217168, DOI 10.1090/S0002-9904-1967-11841-X
- Gilbert Baumslag, Lecture notes on nilpotent groups, Regional Conference Series in Mathematics, No. 2, American Mathematical Society, Providence, R.I., 1971. MR 0283082
- Norman Blackburn, Conjugacy in nilpotent groups, Proc. Amer. Math. Soc. 16 (1965), 143–148. MR 172925, DOI 10.1090/S0002-9939-1965-0172925-5
- Armand Borel, Some finiteness properties of adele groups over number fields, Inst. Hautes Études Sci. Publ. Math. 16 (1963), 5–30. MR 202718, DOI 10.1007/BF02684289
- K. A. Hirsch, On infinite soluble groups. III, Proc. London Math. Soc. (2) 49 (1946), 184–194. MR 17281, DOI 10.1112/plms/s2-49.3.184
- S. A. Jennings, The group ring of a class of infinite nilpotent groups, Canadian J. Math. 7 (1955), 169–187. MR 68540, DOI 10.4153/CJM-1955-022-5
- A. I. Mal′cev, On a class of homogeneous spaces, Izvestiya Akad. Nauk. SSSR. Ser. Mat. 13 (1949), 9–32 (Russian). MR 0028842
- V. N. Remeslennikov, Conjugacy of subgroups in nilpotent groups, Algebra i Logika Sem. 6 (1967), no. 2, 61–76 (Russian, with English summary). MR 0218459
- Gilbert Baumslag, Automorphism groups of nilpotent groups, Amer. J. Math. 91 (1969), 1003–1011. MR 255654, DOI 10.2307/2373314
- A. Borel and J.-P. Serre, Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv. 39 (1964), 111–164 (French). MR 181643, DOI 10.1007/BF02566948
- A. G. Kuroš, Teoriya grupp, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow, 1953 (Russian). 2d ed. MR 0059266
- Calvin C. Moore, Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of Math. (2) 82 (1965), 146–182. MR 181701, DOI 10.2307/1970567
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 216-219
- MSC (1970): Primary 2040, 2027
- DOI: https://doi.org/10.1090/S0002-9904-1971-12687-3
- MathSciNet review: 0269739