Recognition of Simple Groups $U_3(Q)$ by Element Orders

A. V. Zavarnitsin

Algebra i logika, Tome 45 (2006) no. 2, pp. 185-202.

Résumé

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.

Détail

Keywords: finite group, element order, recognition, spectrum.

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