This article is cited in 9 papers

Quasirecognizability by the Set of Element Orders for Groups ${^3}D_4(q)$, for $q$ Even

O. A. Alekseeva

Chelyabinsk Institute of Humanities

Abstract: It is proved that if $G$ is a finite group with an element order set as in the simple group ${^3}D_4(q)$, where $q$ is even, then the commutant of $G/F(G)$ is isomorphic to ${^3}D_4(q)$ and the factor group $G/G'$ is a cyclic $\{2,3\}$-group.

Keywords: finite group, simple group, set of element orders, quasirecognizability, prime graph.

UDC: 512.542

Received: 25.03.2005
Revised: 08.07.2005

 English version: Algebra and Logic, 2006, 45:1, 1–11

Bibliographic databases:

• 
• 
• 
• 
•