Recognition of simple groups U 3(Q) by element orders

Author: Zavarnitsin A.  

Publisher: Springer Publishing Company

ISSN: 0002-5232

Source: Algebra and Logic, Vol.45, Iss.2, 2006-03, pp. : 106-116

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

An exhaustive solution is given to the recognition-by-spectrum problem for finite, simple, three-dimensional unitary groups. For every such group, the number of non-isomorphic, finite, isospectral groups is determined. In particular, a new counterexample to Problem 13.63 in the Kourovka Notebook is furnished.