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Miscellaneous Properties of Relatively Free Groups
1967We consider free groups of finite rank and write F k for the absolutely free group of rank k, freely generated by f = {f1, ..., f k }.
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Around Automorphisms of Relatively Free Groups
1999Let V (≥ F′) be a fully invariant subgroup of a free group F = 〈x1,…, x n 〉 of rank n ≥ 2. A system w(V) = (w1 V,…, w m V), m ≤ n, of cosets of F / V is said to be primitive in F / V if it can be extended to a basis of F / V; and if w(V) is a primitive system in F / V then w(V) is said to lift to a primitive system of the free group F if there exists v
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Self-similarity of some soluble relatively free groups
Archiv Der Mathematik, 2023Alex C Dantas
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The Splitting Properties of Relatively Free Groups
Proceedings of the London Mathematical Society, 1954openaire +2 more sources
On the center of a relatively free lie-nilpotent algebra of index 4
Mathematical Notes, 2012A V Grishin, Grishin A V
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Directly Decomposable Finite Relatively Free Groups
Journal of the London Mathematical Society, 1971openaire +1 more source
Minimal Varieties and Identities of Relatively Free Algebras
Communications in Algebra, 2015Dimas JOSÉ Gonçalves +1 more
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Undecidability of the word problem in relatively free rings
Mathematical Notes, 2000Vladimir Popov, Popov V Yu
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