ON ELEMENTARY AMENABLE-GROUPS OF FINITE HIRSCH NUMBER

被引：13

作者：

WEHRFRITZ, BAF

机构：

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1995年 / 58卷

关键词：

D O I：

10.1017/S1446788700038258

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an alternative short proof of a recent theorem of J.A. Hillman and P.A. Linnell that an elementary amenable group with finite Hirsch number has, module its locally finite radical, a soluble normal subgroup with index and derived length bounded only in terms of the Hirsch number of the group.

引用

页码：219 / 221

页数：3

共 6 条

[1] ELEMENTARY AMENABLE-GROUPS OF FINITE HIRSCH LENGTH ARE LOCALLY-FINITE BY VIRTUALLY-SOLVABLE [J].

HILLMAN, JA ;

LINNELL, PA .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1992, 52 :237-241

[2] ELEMENTARY AMENABLE-GROUPS AND 4-MANIFOLDS WITH EULER CHARACTERISTIC-0 [J].

HILLMAN, JA .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1991, 50 :160-170

[3]

Kegel Otto H., 1973, LOCALLY FINITE GROUP, V3

[4]

MALCEV AI, 1951, MAT SBORNIK, V0028, P00567

[5]

Robinson J. S., 1972, ERGEBNISSE MATH IHRE, V63

[6]

WEHRFRTIZ BAF, 1973, INFINITE LINEAR GROU

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