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Residually finite one-relator groups
Author:
Gilbert Baumslag
Journal:
Bull. Amer. Math. Soc. 73 (1967), 618-620
MathSciNet review:
0212078
Full-text PDF
References |
Additional Information
- 1.
Gilbert
Baumslag and Donald
Solitar, Some two-generator one-relator
non-Hopfian groups, Bull. Amer. Math. Soc.
68 (1962),
199–201. MR 0142635
(26 #204), http://dx.doi.org/10.1090/S0002-9904-1962-10745-9
- 2.
A.
Malcev, On isomorphic matrix representations of infinite
groups, Rec. Math. [Mat. Sbornik] N.S. 8 (50) (1940),
405–422 (Russian, with English summary). MR 0003420
(2,216d)
- 3.
W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
- 4.
Gilbert
Baumslag, On generalised free products, Math. Z.
78 (1962), 423–438. MR 0140562
(25 #3980)
- 5.
Gilbert
Baumslag, On the residual nilpotence of certain one-relator
groups, Comm. Pure Appl. Math. 21 (1968),
491–506. MR 0235015
(38 #3327)
- 6.
Marshall
Hall Jr., The theory of groups, The Macmillan Co., New York,
N.Y., 1959. MR
0103215 (21 #1996)
- 7.
D.
E. Cohen and R.
C. Lyndon, Free bases for normal subgroups of
free groups, Trans. Amer. Math. Soc. 108 (1963), 526–537.
MR
0170930 (30 #1165), http://dx.doi.org/10.1090/S0002-9947-1963-0170930-9
- 8.
A.
Karrass, W.
Magnus, and D.
Solitar, Elements of finite order in groups with a single defining
relation., Comm. Pure Appl. Math. 13 (1960),
57–66. MR
0124384 (23 #A1696)
- 1.
- G. Baumslag and D. Solitar, Some two-generator one-relator non-hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199-201. MR 142635
- 2.
- A. I. Mal'cev, On isomorphic representations of infinite groups by matrices, Mat. Sb. 8 (1940), 405-422. MR 3420
- 3.
- W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966.
- 4.
- G. Baumslag, On generalized free products, Math. Z. 78 (1962), 423-438. MR 140562
- 5.
- G. Baumslag, On the residual nilpotence of certain one-relator groups, J. Algebra (to appear). MR 235015
- 6.
- M. Hall, The theory of groups, Macmillan, New York, 1959. MR 103215
- 7.
- D. E. Cohen and R. C. Lyndon, Free bases for normal subgroups of free groups, Trans. Amer. Math. Soc. 108 (1963), 526-537. MR 170930
- 8.
- A. Karrass, W. Magnus and D. Solitar, Elements of finite order in groups with a single defining relation, Comm. Pure Appl. Math. 13 (1960), 57-66. MR 124384
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1967-11799-3
PII:
S 0002-9904(1967)11799-3
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