On the number of generators of finite images of free products of finite groups

DOI10.1006/jabr.2001.8927zbMath1001.20021OpenAlexW1986446615MaRDI QIDQ5958875

Andrea Lucchini

Publication date: 24 September 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8927

zbMATH Keywords

numbers of generatorsprofinite groupsfree profinite productsGrushko-Neumann theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (1)

On the number of generators needed for free profinite products of finite groups.

Cites Work

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• Some questions on the number of generators of a finite group
• Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp
• Generating finite soluble groups
• Generating wreath products
• Groups without faithful transitive permutation representations of small degree
• Generators for finite groups with a unique minimal normal subgroup
• Generating the augmentation ideal
• On the minimal number of generators of free profinite products of profinite groups
• Maximal subgroups in finite and profinite groups
• On groups withd-generator subgroups of coprime index
• The Fitting subgroup of a linear solvable group

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