On rational and concise words.
DOI10.1016/J.JALGEBRA.2015.02.003zbMath1346.20042arXiv1406.7175OpenAlexW2963839379MaRDI QIDQ2341308
P. V. Shumyatskij, Robert M. Guralnick
Publication date: 24 April 2015
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.7175
commutatorsresidually finite groupsequations over groupsmultilinear commutator wordsverbal subgroupsgroup wordssolutions of equationsconcise wordsweakly rational words
Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Commutator calculus (20F12) Algebraic geometry over groups; equations over groups (20F70)
Related Items (18)
Cites Work
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- Omega subgroups of pro-\(p\) groups.
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- Outer commutator words are uniformly concise
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- Finiteness Conditions for Verbal Subgroups
- On Outer-Commutator Words
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