On the capability of groups

被引：32

作者：

Ellis, G ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1998年 / 41卷

关键词：

D O I：

10.1017/S0013091500019842

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show how the third integral homology of a group plays a role in determining whether a given group is isomorphic to an inner automorphism group. Various necessary conditions, and sufficient conditions, for the existence of such an isomorphism are obtained.

引用

页码：487 / 495

页数：9

共 12 条

[1]

Baer R, 1938, T AM MATH SOC, V44, P387

[2] GROUPS OCCURRING AS CENTER FACTOR GROUPS [J].

BEYL, FR ;

FELGNER, U ;

SCHMID, P .

JOURNAL OF ALGEBRA, 1979, 61 (01) :161-177

[3]

BEYL FR, 1982, LECT NOTES MATH, V958

[4] VANKAMPEN THEOREMS FOR DIAGRAMS OF SPACES [J].

BROWN, R ;

LODAY, JL .

TOPOLOGY, 1987, 26 (03) :311-335

[5] SOME COMPUTATIONS OF NON-ABELIAN TENSOR-PRODUCTS OF GROUPS [J].

BROWN, R ;

JOHNSON, DL ;

ROBERTSON, EF .

JOURNAL OF ALGEBRA, 1987, 111 (01) :177-202

[6] ASPHERICAL GROUP PRESENTATIONS [J].

CHISWELL, IM ;

COLLINS, DJ ;

HUEBSCHMANN, J .

MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (01) :1-36

[7] ON 5 WELL-KNOWN COMMUTATOR IDENTITIES [J].

ELLIS, GJ .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1993, 54 :1-19

[8] TENSOR-PRODUCTS AND Q-CROSSED MODULES [J].

ELLIS, GJ .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1995, 51 :243-258

[9] NON-ABELIAN EXTERIOR PRODUCTS OF GROUPS AND EXACT SEQUENCES IN THE HOMOLOGY OF GROUPS [J].

ELLIS, GJ .

GLASGOW MATHEMATICAL JOURNAL, 1987, 29 :13-19

[10]

Hall Jr M., 1964, GROUPS ORDER 2

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