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math.RA2017
A Counterexample to the First Zassenhaus Conjecture
Florian Eisele, Leo Margolis
Hans J. Zassenhaus conjectured that for any unit of finite order in the integral group ring of a finite group there exists a unit in the rational group algebra of s…
math.RA2013
On the IYB-property in some solvable groups
Florian Eisele
A finite group is called Involutive Yang-Baxter (IYB) if there exists a bijective 1-cocycle for some -module . It is known that every I…
math.RA2013
The p-adic group ring of SL_2(p^f)
Florian Eisele
In this article we show that the -order $\Z_p[ζ_{p^f-1}]\SL_2(p^f)$ can be recognized among those orders whose reduction modulo is isomorphic to $\F_{p^f}\SL_2…