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The group algebra of a torsion-free one-relator group can be embedded in a field
Author(s):
Jacques
Lewin;
Tekla
Lewin
Journal:
Bull. Amer. Math. Soc.
81
(1975),
947-949.
MSC (1970):
Primary 16A26, 20F05;
Secondary 16A06, 16A60
MathSciNet review:
0376836
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References |
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Additional information
References:
- 1.
- G. Bergman and W. Dicks, On universal derivations, J. Algebra (to appear). MR 387353
- 2.
- P. M. Cohn, On the free product of associative rings. III, J. Algebra 8 (1968), 376-383; correction, ibid. 10 (1968), 123. MR 36 #5170; 37 #4121. MR 222118
- 3.
- P. M. Cohn, Free rings and their relations, Academic Press, New York and London, 1971. MR 371938
- 4.
- J. Lewin, A matrix representation for associative algebras. I, Trans. Amer. Math. Soc. 188(1974), 293-308. MR 338081
- 5.
- J. Lewin, Fields of fractions for group algebras of free groups, Trans. Amer. Math. Soc. 192 (1974), 339-346. MR 338055
- 6.
- R. C. Lyndon, Cohomology theory of groups with a single defining relation, Ann. of Math. (2) 52 (1950), 650-665. MR 13, 819. MR 47046
- 7.
- W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory. Presentations of groups in terms of generators and relations, Pure and Appl. Math., Vol. 13, Interscience, New York and London, 1966. MR 34 #7617. MR 207802
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13906-1
PII:
S 0002-9904(1975)13906-1
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