Asymptotic growth of finite groups

DOI10.1006/JABR.1998.7502zbMath0922.20036OpenAlexW2016663853MaRDI QIDQ1277007

Sarah Black

Publication date: 22 August 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7502

zbMATH Keywords

soluble groupsfinite groupspolynomial growthfinitely generated groupsexponential growthgrowth functionsnilpotent subgroupsminimal numbers of generatorssubexponential growthword growth

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Generators, relations, and presentations of groups (20F05) Abstract finite groups (20D99) Finite nilpotent groups, (p)-groups (20D15)

Related Items (3)

Full residual finiteness growths of nilpotent groups ⋮ Growth conditions in infinitely generated groups. ⋮ Random Schreier graphs and expanders

Cites Work

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• Two-Generator conditions for Residually Finite Groups
• On the Fixity of Linear Groups
• On the diameter and bisector size of Cayley graphs
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups

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