Article ID Journal Published Year Pages File Type
4583622 Journal of Algebra 2017 29 Pages PDF
Abstract

For a group G   we study homological and homotopical properties of the group χ(G)=〈G,Gψ|[g,gψ]=1 for g∈G〉χ(G)=〈G,Gψ|[g,gψ]=1 for g∈G〉. In particular, we show that the operator χ   preserves the soluble of type FP∞FP∞ property.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
, ,