Residually -groups, for many primes , are orderable
Abstract: It is proved that if is a residually finite -group, for infinitely many primes , then can be linearly ordered.
-  Gilbert Baumslag, Wreath products and extensions, Math. Z. 81 (1963), 286–299. MR 0151518, https://doi.org/10.1007/BF01111576
-  L. Fuchs, Partially ordered algebraic systems, Pergamon Press, Oxford-London-New York-Paris; Addison-Wesley Publishing Co., Inc., Reading, Mass.-Palo Alto, Calif.-London, 1963. MR 0171864
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Keywords: Residually finite -groups, ordered groups, free polynilpotent groups
Article copyright: © Copyright 1973 American Mathematical Society