Primitive pairs of K-groups

Paul Flavell

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arXiv · 1609.03026

Primitive pairs of K-groups

Paul Flavell

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Abstract

In 'Primitive pairs of $p$-solvable groups', J. Algebra 324 (2010) 841-859, the author proved a non existence theorem for certain types of amalgams of $p$-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 $p$-solvable restriction will be weakened to a $K$-group hypothesis. An application of this work will be a new proof of the Nonsolvable Signalizer Functor Theorem.

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Paul Flavell. 2016-09-10. Primitive pairs of K-groups. https://arxiv.org/abs/1609.03026

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