LOCAL NEARRINGS ON FINITE NON-ABELIAN 2-GENERATED p-GROUPS

被引：0

作者：

Raievska, I. Yu ^{[1
]}

Raievska, M. Yu ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, 3 Tereschenkivska Str, UA-01024 Kiev, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2020年 / 12卷 / 01期

关键词：

finite p-group; local nearring; NEAR-RINGS; CONSTRUCTION;

D O I：

10.15330/cmp.12.1.199-207

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that for p > 2 every finite non-metacyclic 2-generated p-group of nilpotency class 2 with cyclic commutator subgroup is the additive group of a local nearring and in particular of a nearring with identity. It is also shown that the subgroup of all non-invertible elements of this nearring is of index p in its additive group.

引用

页码：199 / 207

页数：9

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