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Universal group with twenty-one defining relations. (English) Zbl 0365.20044


MSC:

20F05 Generators, relations, and presentations of groups
20F40 Associated Lie structures for groups
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[1] Aanderaa, S., A proof of Higman’s embedding theorem using Britton extensions of groups, (Boone, W. W.; Cannonito, F.; Lyndon, R., Word Problems: Decision Problems and the Burnside Problem in Group Theory (1973), North-Holland: North-Holland Amsterdam) · Zbl 0265.20033
[2] Boone, W. W.; Collins, D. J., Embeddings into groups with only a few defining relations, Proc. Austr. Math. Soc., 1-7 (1974) · Zbl 0303.20027
[3] Borisov, V. V., Simple examples of groups with unsolvable word problem, Mat. Zametki, 6, 521-532 (1969), in Russian
[4] Britton, J. L., The word problem, Ann. of Math., 77, 16-32 (1963) · Zbl 0112.25803
[5] Higman, G., Subgroups of finitely presented groups, Proc. Roy. Soc. A, 262, 455-475 (1961) · Zbl 0104.02101
[6] Lyndon, R. C., On Dehn’s algorithm, Math. Ann., 166, 208-228 (1966) · Zbl 0138.25702
[7] Matijasevic, Yu. V., Simple examples of undecidable associative calculi, Dokl. Akad. Nauk SSSR, 173, 1264-1266 (1967), in Russian
[8] Valiev, M. K., Examples of universal finitely presented groups, Dokl. Akad. Nauk SSSR, 211, 265-268 (1973), in Russian · Zbl 0291.20041
[9] Valiev, M. K., Examples of universal finitely presented groups, Moscow. Moscow, 2nd. Conf. Math. Logic Abstracts (1972), (in Russian) · Zbl 0291.20041
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