A generalization of the Burnside basis theorem.

DOI10.1016/j.jalgebra.2013.11.005zbMath1307.20028arXiv1211.6137OpenAlexW2078978356MaRDI QIDQ405803

Benjamin Klopsch, Paul Apisa

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1211.6137

zbMATH Keywords

finite groupsmatroidsbasesminimal generating setsBurnside basis theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05)

Related Items

On some sets of generators of finite groups., FINITE GROUPS WITH INDEPENDENT GENERATING SETS OF ONLY TWO SIZES, On generating sets of finite algebras, The structure of finite groups with an \(\mathcal{M}\)-permutable Sylow subgroup, The independence graph of a finite group, ‘ON SETS OF PP-GENERATORS OF FINITE GROUPS’, Maximal subgroups of finite soluble groups in general position, Bounding the maximal size of independent generating sets of finite groups, Classifying uniformly generated groups, Unnamed Item, Finite groups with the pp-embedding property, Minimal invariable generating sets, ON SETS OF PP-GENERATORS OF FINITE GROUPS

Cites Work

• Unnamed Item
• Unnamed Item
• Some applications of the first cohomology group
• Generators for finite groups with a unique minimal normal subgroup
• Maximal independent generating sets of the symmetric group
• Generators and minimal normal subgroups
• Independent generating sets and geometries for symmetric groups
• On the maximal size of independent generating sets of \(\text{PSL}_2(q)\)
• Bases of certain finite groups
• Groups with the basis property.