Groups with super-exponential subgroup growth

被引：4

作者：

Pyber, L

Shalev, A

机构：

[1] HUNGARIAN ACAD SCI,INST MATH,H-1364 BUDAPEST,HUNGARY

[2] HEBREW UNIV JERUSALEM,INST MATH,IL-91904 JERUSALEM,ISRAEL

来源：

COMBINATORICA | 1996年 / 16卷 / 04期

关键词：

D O I：

10.1007/BF01271271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, if the subgroup growth of a finitely generated (abstract or profinite) group G is super-exponential, then every finite group occurs as a quotient of a finite index subgroup of G. The proof involves techniques from finite permutation groups, and depends on the Classification of Finite Simple Groups.

引用

页码：527 / 533

页数：7

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