Combinatorial conditions in residually finite groups. I

DOI10.1006/jabr.1993.1089zbMath0814.20022OpenAlexW4212930234MaRDI QIDQ1802205

Aner Shalev, James F. Semple

Publication date: 28 May 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1993.1089

zbMATH Keywords

finitely generated residually finite groupsfinitely generated soluble groupsnilpotent-by-finite groupscollapsing groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Residual properties and generalizations; residually finite groups (20E26)

Related Items (16)

Which Words have an Efficient Result? ⋮ Groups satisfying semigroup laws, and nilpotent-by-Burnside varieties ⋮ Multiplicatively collapsing and rewritable algebras ⋮ GB-Problem in the Class of Locally Graded Groups ⋮ Growth of unbounded sets in nilpotent groups and random mapping statistics ⋮ Which words spell ``almost nilpotent? ⋮ What do the Engel laws and positive laws have in common? ⋮ Words and Almost Nilpotent Varieties of Groups^# ⋮ Positive laws on word values in residually-\(p\) groups. ⋮ Groups with a positive law on commutators. ⋮ Weak Maximality Condition and Polycyclic Groups ⋮ Milnor identities ⋮ Group Laws Implying Virtual Nilpotence ⋮ Milnor's alternative for finitely generated relatively free groups that are locally graded ⋮ Groups preserving the cardinality of subsets product under permutations ⋮ Collapsing groups and positive laws

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