3 papers
math.GR2026
Brauer-Fowler Bounds for Elements of Odd Prime Order
Alessandro Dioguardi Burgio, Kıvanç Ersoy, Edoardo Salati
The Brauer--Fowler theorem bounds the order of a finite simple group in terms of the order of the centralizer of an involution. Hartley proved an automorphism version, bounding the…
math.GR2026
Mixed identities for simple locally finite groups
Henry Bradford, Kıvanç Ersoy, Jakob Schneider +1
A mixed identity of a group is a nontrivial word with constants that vanishes under every substitution of its variables. We derive lower bounds for the length of mixed identities i…
math.GR2026
Inverse ambiguous maps on infinite groups
Sezen Bostan, Kıvanç Ersoy
Let be a group. A bijection is called inverse ambiguous if for every . We prove that every infinite group admits an inverse ambig…