Classification of finite 3-nets of types I.3, I.4, I.5

被引：0
|
作者：
Ilinykh, AP
机构：
[1] Ural State Pedagogical University, Ekaterinburg
来源：
SBORNIK MATHEMATICS | 1995年 / 186卷 / 9-10期
关键词：
D O I：
10.1070/SM1995v186n10ABEH000077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using the description of 2-transitive groups, in this paper finite 3-nets of types I.3, I.4, and I.5 are studied. According to the Barlotti-Strambach classification (see [4]) an arbitrary 3-net belongs to one of the seven Lent classes I.1-I.5, II.1-II.2. In this work the question of the existence of nets of types 1.3, 1.4, 1.5 remained open. The non-existence of a finite net of type 1.5 is proved and the finite nets of type 1.3 and 1.4 are described up to isomorphism.
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收藏
页码：1429 / 1443
页数：15
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