FINITARY SYMPLECTIC GROUPS

被引：0

作者：

BARTOLOZZI, F ^{[1
]}

BARTOLOZZI, R ^{[1
]}

机构：

[1] FEDERICO & RITA BARTOLOZZI,DIPARTIMENTO MATEMAT & APPL,I-90123 PALERMO,ITALY

来源：

GEOMETRIAE DEDICATA | 1992年 / 44卷 / 03期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that finitary symplectic group FSp(V, f) is a simple group, provided (V, f) is a regular symplectic space of infinite dimension over a field of characteristic not-equal 2. On the other hand, when (V, f) is not regular, FSp(V, f) cannot be simple because it contains FSp0(V f), the normal subgroup of elements of FSp(V, f) acting trivially on rad(V, f), as a normal subgroup. In the non-regular case we show that even FSp0(V, f) is not a simple group.

引用

页码：273 / 279

页数：7