V ponedeljek, 31. januarja 2011, bo ob 10. uri v seminarski sobi v Galebu, v okviru raziskovalnega matematičnega seminarja, predaval  prof.dr. Jiangtao Shi (School of Mathematical Sciences, Peking University).

Predavanje bo v Angleščini.

Vljudno vabljeni k udeležbi na predavanju!

 

Title: On an inverse problem to Frobenius’s theorem

Abstract: Let G be a finite group and e a positive integer dividing |G|, the order of G.

Denoting L_e(G) = {x \in G| x^e = 1}, Frobenius proved that |L_e(G)| = ke for a

positive integer k ≥ 1. In this talk, we give a complete classification of finite groups

G with |L_e(G)| ≤ 2e for every e dividing |G|.