Finitary representations and images of transitive finitary permutation groups

被引：6

作者：

Leinen, F ^{[1
]}

Puglisi, O

机构：

[1] Univ Mainz, Fachbereich Math 17, D-55099 Mainz, Germany

[2] Univ Trent, Dipartimento Matemat, I-38050 Trent, Italy

来源：

JOURNAL OF ALGEBRA | 1999年 / 222卷 / 02期

关键词：

finitary groups; permutation groups; wreath products; homomorphic images;

D O I：

10.1006/jabr.1999.8029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We characterize the point stabilizers and kernels of finitary permutation representations of infinite transitive groups of finitary permutations. Moreover, the number of such representations is determined. (C) 1999 Academic Press.

引用

页码：524 / 549

页数：26

共 21 条

[1]

BELYAEV VV, 1993, ALGEBRA LOGIC, V32, P319

[2] RESIDUAL PROPERTIES OF FINITARY LINEAR-GROUPS [J].

BRUNO, B ;

PHILLIPS, RE .

JOURNAL OF ALGEBRA, 1994, 166 (02) :379-392

[3] Metric and topological aspects of the symmetric group of countable degree [J].

Cameron, PJ .

EUROPEAN JOURNAL OF COMBINATORICS, 1996, 17 (2-3) :135-142

[4] INFINITE ALTERNATING GROUPS AS FINITARY LINEAR TRANSFORMATION GROUPS [J].

HALL, JI .

JOURNAL OF ALGEBRA, 1988, 119 (02) :337-359

[5]

HALL P, 1962, P CAMB PHILOS SOC, V58, P170

[6]

Hall P., 1959, J LOND MATH SOC, V34, P289

[7] Countable recognizability of primitive periodic finitary linear groups [J].

Leinen, F ;

Puglisi, O .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1997, 121 :425-435

[8]

Meldrum J. D., 1995, Wreath Products of Groups and Semigroups

[9] STRUCTURE OF FINITARY PERMUTATION GROUPS [J].

NEUMANN, PM .

ARCHIV DER MATHEMATIK, 1976, 27 (01) :3-17

[10] LAWLESSNESS OF GROUPS OF FINITARY PERMUTATIONS [J].

NEUMANN, PM .

ARCHIV DER MATHEMATIK, 1975, 26 (06) :561-566

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