A subset of a finite group is called g\nbdash independent if there is no proper subset of such that The group has the embedding property if every g\nbdash independent subset of can be embedded in a minimal generating set of .If is a set of prime power order elements, then we say that has the pp-embedding property. In this note we classify all finite solvable groups with the pp-embedding property. Moreover we prove that this class is equal to the class of finite solvable groups with the embedding property.
Cite this article
Agnieszka Stocka, Finite groups with the pp-embedding property. Rend. Sem. Mat. Univ. Padova 141 (2019), pp. 107–119DOI 10.4171/RSMUP/16