Journal of Algebra, Number Theory: Advances and Applications
ARE UNIQUELY DETERMINED BY THEIR ELEMENT
ORDERS AND THEIR ORDERAuthor's: Mingchun Xu
Pages: [57] - [69]
Received Date: September 14, 2010
Submitted by:
For a finite group G, denote by 
the set of the element orders in
G.
We show the validity of a conjecture of Shi for the finite simple
groups of Lie type 
where q is an even prime power and
Theorem. Let G be a finite group and M be one of
the finite simple groups of Lie type where q is an even prime power and
If 
and 
then 
quasirecognizable group, set of element orders, simple group, prime graph.
