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Finiteness theorems for polycyclic groups
Author(s):
F. J.
Grunewald;
P. F.
Pickel;
D.
Segal
Journal:
Bull. Amer. Math. Soc.
1
(1979),
575-578.
MSC (1970):
Primary 20E15, 20G30, 12A45
MathSciNet review:
526969
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Additional information
References:
- [B] A. Borel, Some finiteness properties of adele groups over number fields, Inst. Hautes Études Sci. Publ. Math. 16 (1963), 101-126. MR 202718
- [BS] A. Borel and J.-P. Serre, Théorèmes de finitude en cohomologie galoisienne, Comment. Math. Helv. 39 (1964), 111-164. MR 181643
- [GS1] F. J. Grunewald and D. Segal, On polycyclic groups with isomorphic finite quotients, Math. Proc. Cambridge Philos. Soc. 84 (1978), 235-246. MR 491962
- [GS2] F. J. Grunewald and D. Segal, A note on arithmetic groups, Bull. London Math. Soc. (to appear). MR 519913
- [GS3] F. J. Grunewald and D. Segal, On congruence topologies in number fields, J. Reine Angew. Math. (to appear). MR 549980
- [P1] P. F. Pickel, Finitely generated nilpotent groups with isomorphic finite quotients, Trans. Amer. Math. Soc 160 (1971), 327-341. MR 291287
- [P2] P. F. Pickel, Nilpotent-by-finite groups with isomorphic finite quotients, ibid. 183 (1973), 313-325. MR 384940
- [P3] P. F. Pickel, Fitting subgroups and profinite completions of polycyclic groups, J. Algebra 42 (1976), 41-45. MR 417293
- [R] D. J. S. Robinson, The vanishing of certain homology and cohomology groups, J. Pure Appl. Algebra 7 (1976), 145-167. MR 404478
- [S] D. Segal, Two theorems on polycyclic groups, Math. Z. 164 (1978), 185-187. MR 517154
- [T] R. Tolimieri, Structure of solvable Lie groups, J. Algebra 16 (1971), 597-625. MR 294564
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Additional Information:
DOI:
10.1090/S0273-0979-1979-14630-5
PII:
S 0273-0979(1979)14630-5
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