This article is cited in 3 papers

Research papers

On $2$-groups, all of whose finite subgroups are of nilpotency class $2$

D. V. Lytkina

Siberian State University of Telecommunications and Informatics Sciences, Novosibirsk, Russia

Abstract: We prove that if all finite subgroups of a $2$-group $G$ are of nilpotency class $2$ then $G$ is of nilpotency class $2$.

Keywords: $p$-group, nilpotent group.

UDC: 512.5

MSC: 20D15

Received December 5, 2010, published January 15, 2011

Language: English