INVARIANTS OF FINITE p-GROUPS WITH A MINIMAL COMMUTATOR SUBGROUP

被引：0

作者：

Keranova, Neli T. ^{[1
]}

Nachev, Nako A. ^{[2
]}

机构：

[1] Univ Agr, Dept Math, Informat & Phys, Plovdiv 4000, Bulgaria

[2] Paisij Hilendarski Univ Plovdiv, BG-4000 Plovdiv, Bulgaria

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2015年 / 68卷 / 01期

关键词：

p-group; commutator subgroup; invariant; isomorphic groups; symplectic pairs; symplectic basis;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we consider finite p-groups with a commutator subgroup of order p, where p is a prime. We introduce the concepts of a commutator product, a symplectic pair, a symplectic product, a symplectic basis, etc. We have obtained two main results: the structural theorem for the considered groups and the description of the full system of invariants of these groups.

引用

页码：5 / 10

页数：6