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- W2110151196 abstract "Let G be a finitely generated free, free abelian of arbitrary exponent, free nilpotent, or free solvable group, or a free group in the variety A m A n , and let A = {a 1 ,…, a r } be a basis for G. We prove that, in most cases, if S is a subset of a basis for G which may be expressed as a word in A without using elements from {a l+1 ,…, a r } for some l < r, then S is a subset of a basis for the relatively free group on {a 1 ,…, a l }." @default.
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- W2110151196 date "2012-06-01" @default.
- W2110151196 modified "2023-09-25" @default.
- W2110151196 title "ON RESTRICTING SUBSETS OF BASES IN RELATIVELY FREE GROUPS" @default.
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- W2110151196 doi "https://doi.org/10.1142/s0218196712500300" @default.
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