Extensions of profinite duality groups

2008/09/25 by Schmidt, Alexander, Wingberg, Kay
#20E18 #20E22 #22D35 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.0809.4371

Abstract

We show that the class of profinite duality groups is closed under group extensions provided that the kernel satisfies some finiteness condition. This extends earlier results of Pletch and of Wingberg.

Related

• Profinite completion and double-dual : isomorphisms and counter-examples
• Some aspects of profinite group theory
• Solid Duality for Profinite Groups
• Profinite completions of some groups acting on trees
• Groups of profinite type and profinite rigidity