Now showing items 1-2 of 2

  • Generation problems for finite groups 

    McDougall-Bagnall, Jonathan M. (University of St Andrews, 2011-11-30) - Thesis
    It can be deduced from the Burnside Basis Theorem that if G is a finite p-group with d(G)=r then given any generating set A for G there exists a subset of A of size r that generates G. We have denoted this property B. A ...
  • Groups with the basis property 

    McDougall-Bagnall, Jonathan M.; Quick, Martyn (2011-11-15) - Journal article
    We study finite groups for which every minimal generating set has the same cardinality. A group has the basis property if it and every subgroup satisfies this condition on minimal generating sets. We classify all finite ...