POLYNOMIAL INDEX GROWTH GROUPS

DOI10.1142/S0218196700000364zbMath0986.20032MaRDI QIDQ2709981

Avinoam Mann, László Pyber, Antal Balog

Publication date: 3 March 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

zbMATH Keywords

finitely generated groupssubgroup growthfinite groups of Lie typeresidually finite groupsprofinite groupsfinite quotient groupspolynomial index growth groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Residual properties and generalizations; residually finite groups (20E26) Simple groups: alternating groups and groups of Lie type (20D06) Limits, profinite groups (20E18)

Related Items (2)

Random generation of finite and profinite groups and group enumeration. ⋮ Generating Adjoint Groups

Cites Work

• Discrete groups of slow subgroup growth
• Finitely generated groups of polynomial subgroup growth
• On groups of polynomial subgroup growth
• Asymptotic results for primitive permutation groups
• Subgroup growth and congruence subgroups
• Uniform Finiteness Conditions in Residually Finite Groups
• On Finitely Generated Soluble Groups With No Large Wreath Product Sections
• BOUNDED GENERATION OF CHEVALLEY GROUPS OVER RINGS OF ALGEBRAICS-INTEGERS
• Finite Permutation Groups and Finite Simple Groups
• Finite Quotients of the Automorphism Group of a Free Group
• UPPER BOUNDS IN THE RESTRICTED BURNSIDE PROBLEM II
• Bounded generation does not imply finite presentation
• Subgroup Growth and Sieve Methods
• Profinite Groups with Polynomial Subgroup Growth
• Maximal subgroups in finite and profinite groups
• On the Product of the Primes
• The orders of the linear groups

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