16 citations · 19 across the 5 of their papers we have counts for
5 papers
Burnside Rings of Fusions Systems and their Unit Groups
Jamison Barsotti, Rob Carman
For a saturated fusion system on a -group , we study the Burnside ring of the fusion system , as defined by Matthew Gelvin and Sune Reeh, which is…
Orthogonal units of the double Burnside ring
Jamison Barsotti
Given a finite group , its double Burnside ring , has a natural duality operation that arises from considering opposite -bisets. In this article, we systematicall…
On the unit group of the Burnside ring for some solvable groups as a biset functor
Jamison Barsotti
The theory of bisets has been very useful in progress towards settling the longstanding question of determining units for the Burnside ring. In 2006 Bouc used bisets to settle the…
Graphs on 21 edges that are not 2--apex
Jamison Barsotti, Thomas W. Mattman
We show that the 20 graph Heawood family, obtained by a combination of triangle-Y and Y-triangle moves on , is precisely the set of graphs of at most 21 edges that are minor m…
Intrinsically knotted graphs with 21 edges
Jamison Barsotti, Thomas W. Mattman
We show that the 14 graphs obtained by moves on K_7 constitute a complete list of the minor minimal intrinsically knotted graphs on 21 edges. We also present evi…