c-Nilpotent Multiplier of Finite p-Groups

被引：3

作者：

Niroomand, Peyman ^{[1
]}

Johari, Farangis ^{[2
]}

Parvizi, Mohsen ^{[2
]}

机构：

[1] Damghan Univ, Sch Math & Comp Sci, Damghan, Iran

[2] Ferdowsi Univ Mashhad, Dept Pure Math, Mashhad, Razavi Khorasan, Iran

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2020年 / 43卷 / 01期

关键词：

c-Nilpotent multiplier; Capability; p-Groups; SCHUR MULTIPLIER; TENSOR-PRODUCTS; BAER-INVARIANTS; INEQUALITIES; ORDER;

D O I：

10.1007/s40840-019-00723-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to find some exact sequences on the c-nilpotent multiplier of a group G. We also give an upper bound for the c-nilpotent multiplier of finite p-groups and give the explicit structure of groups whose take the upper bound. Finally, we will get the exact structure of the c-nilpotent multiplier and determine c-capable groups in the class of extra-special and generalized extra-special p-groups. It lets us to have a vast improvement over the last results on this topic.

引用

页码：941 / 956

页数：16

共 39 条

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