English

On the structure of some modules over generalized soluble groups

Group Theory 2013-02-11 v1

Abstract

Let R be a ring and G a group. An R-module A is said to be artinian-by-(finite rank) if TorR(A) is artinian and A/TorR(A) has finite R-rank. The authors study ZG-modules A such that A/CA(H) is artinian-by-(finite rank) (as a Z-module) for every proper subgroup H.

Keywords

Cite

@article{arxiv.1302.2115,
  title  = {On the structure of some modules over generalized soluble groups},
  author = {Leonid A. Kurdachenko and Igor Ya. Subbotin and Vasiliy A. Chepurdya},
  journal= {arXiv preprint arXiv:1302.2115},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-21T23:23:22.896Z