Free bases for normal subgroups of free groups
HTML articles powered by AMS MathViewer
- by D. E. Cohen and R. C. Lyndon
- Trans. Amer. Math. Soc. 108 (1963), 526-537
- DOI: https://doi.org/10.1090/S0002-9947-1963-0170930-9
- PDF | Request permission
References
- D. E. Cohen, A topological proof in group theory, Proc. Cambridge Philos. Soc. 59 (1963), 277–282. MR 148728
- Herbert Federer and Bjarni Jónsson, Some properties of free groups, Trans. Amer. Math. Soc. 68 (1950), 1–27. MR 32643, DOI 10.1090/S0002-9947-1950-0032643-4
- Martin Greendlinger, Dehn’s algorithm for the word problem, Comm. Pure Appl. Math. 13 (1960), 67–83. MR 124381, DOI 10.1002/cpa.3160130108
- Roger C. Lyndon, Cohomology theory of groups with a single defining relation, Ann. of Math. (2) 52 (1950), 650–665. MR 47046, DOI 10.2307/1969440
- Roger C. Lyndon, Metamathematics and algebra: An example, Logic, Methodology and Philosophy of Science (Proc. 1960 Internat. Congr.), Stanford Univ. Press, Stanford, Calif., 1962, pp. 143–150. MR 0158829
- Roger C. Lyndon, Dependence and independence in free groups, J. Reine Angew. Math. 210 (1962), 148–174. MR 150188, DOI 10.1515/crll.1962.210.148
- Roger C. Lyndon, Length functions in groups, Math. Scand. 12 (1963), 209–234. MR 163947, DOI 10.7146/math.scand.a-10684 W. Magnus, Über diskontinuerliche Gruppen mit einer definierenden Relation. (Der Freiheitssatz), Crelles J. 103 (1930), 141-165.
- W. Magnus, Das Identitätsproblem für Gruppen mit einer definierenden Relation, Math. Ann. 106 (1932), no. 1, 295–307 (German). MR 1512760, DOI 10.1007/BF01455888
- Hanna Neumann, Generalized free products with amalgamated subgroups. II, Amer. J. Math. 71 (1949), 491–540. MR 30522, DOI 10.2307/2372346
- Jakob Nielsen, A basis for subgroups of free groups, Math. Scand. 3 (1955), 31–43. MR 73592, DOI 10.7146/math.scand.a-10423
- Renée Peiffer, Über Identitäten zwischen Relationen, Math. Ann. 121 (1949), 67–99 (German). MR 32640, DOI 10.1007/BF01329617
- Kurt Reidemeister, Über Identitäten von Relationen, Abh. Math. Sem. Univ. Hamburg 16 (1949), no. nos. 3-4, 114–118 (German). MR 32639, DOI 10.1007/BF03343521
Bibliographic Information
- © Copyright 1963 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 108 (1963), 526-537
- MSC: Primary 20.10
- DOI: https://doi.org/10.1090/S0002-9947-1963-0170930-9
- MathSciNet review: 0170930