4 citations · 5 across the 6 of their papers we have counts for
6 papers
Reduced Power Graphs of
Yilong Yang
Given a group , let us connect two non-identity elements by an edge if and only if one is a power of another. This gives a graph structure on minus identity, called the redu…
Reduced Power Graphs of
Yilong Yang
Given a group , let us connect two non-identity elements by an edge if and only if one is a power of another. This gives a graph structure on minus identity, called the redu…
Projective Limits and Ultraproducts of Nonabelian Finite Groups
Nazih Nahlus, Yilong Yang
Groups that can be approximated by finite groups have been the center of much research. This has led to the investigations of the subgroups of metric ultraproducts of finite groups…
Billiards in near rectangles
Haibin Chang, Yilong Yang
For every quadrilateral sufficiently close to a rectangle, we shall show that it possess a periodic billiard path. This is an REU work done at ICERM in Summer 2012.
Diameter Bound for Finite Simple Groups of Large Rank
Arindam Biswas, Yilong Yang
Given a non-abelian finite simple group of Lie type, and an arbitrary generating set , it is conjectured by Laszlo Babai that its Cayley graph will have a diameter…
The Ultraproducts of Quasirandom Groups
Yilong Yang
In this paper, we shall prove that an ultraproduct of non-abelian finite simple groups is either finite simple, or has no finite dimensional unitary representation other than the t…