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Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations
Wilhelm Magnus,A. Karrass,D. Solitar +2 more
- 01 Jan 1966
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About: The article was published on 01 Jan 1966. and is currently open access. The article focuses on the topics: Combinatorial group theory.
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Citations
Graded Components of the Lie Algebra Associated with the Lower Central Series of a Right-Angled Coxeter Group
TL;DR: In this paper , the lower central series of a right-angled Coxeter group and the corresponding graded Lie algebra associated with it are studied, and relations are obtained in the graded components of the Lie algebra for groups with at most four generators.
•Dissertation
On group actions on free Lie algebras
Marianne Johnson
- 01 Jan 2007
TL;DR: In this article, the authors gave a new, purely combinatorial, proof of Klyachko's celebrated theorem on Lie representations using the Kra\'{s}kiewicz-Weyman theorem.
A note on the growth of Betti numbers and ranks of 3-manifold groups
TL;DR: In this paper, it was shown that π 1 (N ) admits a co-final filtration with fast growth of Betti numbers as well as a cofinal filter with slow growth of ranks.
1
•Posted Content
Induced Subshifts and Cellular Automata
TL;DR: In this paper, given a shift subspace over a finitely generated group, the authors define the subshift induced by it on a larger group and remark several properties that are shared with the old one.
1
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