Elementary properties of free groups
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- by George S. Sacerdote PDF
- Trans. Amer. Math. Soc. 178 (1973), 127-138 Request permission
Abstract:
In this paper we show that several classes of elementary properties (properties definable by sentences of a first order logic) of groups hold for all nonabelian free groups. These results are obtained by examining special embeddings of these groups into one another which preserve the properties in question.References
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- Paul E. Schupp, On Dehn’s algorithm and the conjugacy problem, Math. Ann. 178 (1968), 119–130. MR 237620, DOI 10.1007/BF01350654
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 178 (1973), 127-138
- MSC: Primary 20E05; Secondary 02H15, 20F10
- DOI: https://doi.org/10.1090/S0002-9947-1973-0320146-4
- MathSciNet review: 0320146