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

下载

页码：5 / 10

页数：6

共 50 条

[31] BREADTH AND COMMUTATOR SUBGROUPS OF P-GROUPS
VAUGHANLEE, MR
JOURNAL OF ALGEBRA, 1974, 32 (02) : 278 - 285
[32] THE STRICT UPPER BOUND OF RANKS OF COMMUTATOR SUBGROUPS OF FINITE p-GROUPS
Veretennikov, Boris Michailovich
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2019, 16 : 1885 - 1900
[33] Finite p-Groups with a Cyclic Subgroup of Index p3
Qinhai ZHANG
Journal of Mathematical Research with Applications, 2012, (05) : 505 - 529
[34] ON FINITE P-GROUPS IN WHICH SUBGROUP-PERMUTABILITY IS TRANSITIVE
BIANCHI, M
MAURI, AGB
VERARDI, L
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1995, 9B (01): : 61 - 76
[35] Fully transitive p-groups with finite first Ulm subgroup
Paras, AT
Strüngmann, L
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (02) : 371 - 377
[36] ABELIAN P-GROUPS WITH NO INVARIANTS
MEKLER, A
OIKKONEN, J
JOURNAL OF PURE AND APPLIED ALGEBRA, 1993, 87 (01) : 51 - 59
[37] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Wang, Yu Lei
Liu, He Guo
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2021, 37 (06) : 926 - 940
[38] On the finite p-groups with unique cyclic subgroup of given order
Zhao, Libo
Li, Yangming
Gong, Lu
TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (02) : 244 - 249
[39] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Yu Lei Wang
He Guo Liu
Acta Mathematica Sinica, English Series, 2021, 37 : 926 - 940
[40] Automorphisms of a Class of Finite p-groups with a Cyclic Derived Subgroup
Yu Lei WANG
He Guo LIU
Acta Mathematica Sinica,English Series, 2021, 37 (06) : 926 - 940

← 1 2 3 4 5 →