Cancellative semigroups of power growth

DOI10.1007/BF01138837zbMath0655.20044MaRDI QIDQ1109151

Rostislav I. Grigorchuk

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

generatorsfinitely generated cancellative semigroupsinvertible automatanilpotent subsemigroup of finite indexpower growth

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Free semigroups, generators and relations, word problems (20M05) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items

STABILIZERS OF TRANSITIVE ACTIONS ON LOCALLY FINITE GRAPHS, Amenability and geometry of semigroups, Unnamed Item, On problems related to growth, entropy, and spectrum in group theory, Groups acting on semimetric spaces and quasi-isometries of monoids, Automatic presentations for semigroups.

Cites Work

• Gromov's theorem on groups of polynomial growth and elementary logic
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Invariant Measures and Growth Conditions
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
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