Classification of p-groups via their 2-nilpotent multipliers

被引：0

作者：

Niroomand, Peymam ^{[1
]}

Parvizi, Mohsen ^{[2
]}

机构：

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

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

来源：

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA | 2023年 / 150卷

关键词：

Nilpotent multiplier; Schur multiplier; non-abelian p-groups; 2-capable groups; capable groups; extra-special groups; SCHUR MULTIPLIERS; FINITE; ORDER;

D O I：

10.4171/RSMUP/121

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a p-group of order pn, it is known that the order of 2-nilpotent multiplier is equal to IM.2/(G)I = p 12n.n-1/.n-2/C3-s2.G/, for an integer s2(G). In this article, we characterize all non-abelian p-groups satisfying s2(G) E {1; 2; 3}.

引用

页码：127 / 136

页数：10

共 16 条

[1] ON THE ORDER OF THE COMMUTATOR SUBGROUP AND THE SCHUR MULTIPLIER OF A FINITE P-GROUP [J].