English

Primitive pairs of K-groups

Group Theory 2016-09-13 v1

Abstract

In 'Primitive pairs of pp-solvable groups', J. Algebra 324 (2010) 841-859, the author proved a non existence theorem for certain types of amalgams of pp-solvable groups in the presence of operator groups acting coprimely on the groups in the amalgam. An application of that work was a new proof of the Solvable Signalizer Functor Theorem. In this article, the pp-solvable restriction will be weakened to a KK-group hypothesis. An application of this work will be a new proof of the Nonsolvable Signalizer Functor Theorem.

Keywords

Cite

@article{arxiv.1609.03026,
  title  = {Primitive pairs of K-groups},
  author = {Paul Flavell},
  journal= {arXiv preprint arXiv:1609.03026},
  year   = {2016}
}
R2 v1 2026-06-22T15:45:40.619Z