Intersecting free subgroups in free products of left ordered groups
Sergei V. Ivanov
TL;DR
This paper proves a conjecture regarding the rank of intersecting free subgroups within free products of left ordered groups, advancing understanding in algebraic group theory.
Contribution
It establishes the conjecture for the case of left ordered groups, providing a significant extension to previous results in subgroup intersection theory.
Findings
Proved the Dicks conjecture for left ordered groups
Extended subgroup intersection results to a new class of groups
Enhanced understanding of free product subgroup structures
Abstract
A conjecture of Dicks and the author on rank of the intersection of factor-free subgroups in free products of groups is proved for the case of left ordered groups.
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