The aim is to determine polynomial bounds for the order of the multiplication group M lt(Q) related to loop order |Q|.
Proposed a framework for analyzing the multiplication group of Chein loops.
Considered polynomial functions to provide a bounding mechanism for the group order.
Identified a relationship between the order of multiplication groups and the loop order.
Provided insights that may enhance understanding of group stability in Chein loops.
Abstract
The problem of bounding the order of the multiplication group M lt(Q) by a polynomial function ofthe loop order |Q| was proposed at the Denver 2005 Milehigh Conference