AUTOMORPHISMS OF FINITE-GROUPS OF BOUNDED RANK

被引：22

作者：

SHALEV, A

机构：

[1] Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1993年 / 82卷 / 1-3期

关键词：

D O I：

10.1007/BF02808121

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group admitting an automorphism alpha with m fixed points. Suppose every subgroup of G is r-generated. It is shown that (1) G has a characteristic soluble subgroup H whose index is bounded in terms of m and r, and (2) if the orders of alpha and G are coprime, then the derived length of H is also bounded in terms of m and r.

引用

页码：395 / 404

页数：10

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