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All Countable Groups have Cubic Presentations
Matthew A. Marcus
Proceedings of the American Mathematical Society
Vol. 93, No. 3 (Mar., 1985), pp. 411-413
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045602
Page Count: 3
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Let G be a group with presentation such that each generator occurs at most countably many times in the set of relations. Then for all n ⩾ 3, G is n-ic. In particular, for all n ⩾ 3, countable groups have n-ic presentations.
Proceedings of the American Mathematical Society © 1985 American Mathematical Society