$c$-nilpotent multiplier of finite $p$-groups
Group Theory
2021-05-21 v1
Abstract
The aim of this work is to find some exact sequences on the - nilpotent multiplier of a group . We also give an upper bound for the - nilpotent multiplier of finite -groups and give the explicit structure of groups whose take the upper bound. Finally, we will get the exact structure of the - nilpotent multiplier and determine -capable groups in the class of extra-special and generalized extra-special -groups. It lets us to have a vast improvement over the last results on this topic.
Keywords
Cite
@article{arxiv.1711.07924,
title = {$c$-nilpotent multiplier of finite $p$-groups},
author = {Farangis Johari and Mohsen Parvizi and Peyman Niroomand},
journal= {arXiv preprint arXiv:1711.07924},
year = {2021}
}