Powers in Finitely Generated Groups

DOI10.1090/S0002-9947-96-01456-0zbMath0871.20038MaRDI QIDQ4875772

Ehud Hrushovski, Alexander Lubotzky, Aner Shalev, Peter H. Kropholler

Publication date: 5 October 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

subgroups of finite indexfinitely generated groups\(S\)-unit equationsfinitely generated soluble-by-finite groupsfinitely generated linear groupsinvariant measures on amenable groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Measures on groups and semigroups, etc. (43A05)

Related Items

On the degree of groups of polynomial subgroup growth, Power sets and soluble subgroups, Sieve methods in group theory I: Powers in linear groups, Automorphisms with finite Reidemeister number in residually finite groups., Model theoretic connected components of finitely generated nilpotent groups, Expander graphs in pure and applied mathematics, Powers in finite groups and a criterion for solubility, Twisted conjugacy in \(\mathrm{GL}_2\) and \(\mathrm{SL}_2\) over polynomial algebras over finite fields

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