On the capability of groups

被引：31
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
收藏
页码：487 / 495
页数：9
相关论文
共 12 条
  • [1] Baer R, 1938, T AM MATH SOC, V44, P387
  • [2] GROUPS OCCURRING AS CENTER FACTOR GROUPS
    BEYL, FR
    FELGNER, U
    SCHMID, P
    [J]. JOURNAL OF ALGEBRA, 1979, 61 (01) : 161 - 177
  • [3] BEYL FR, 1982, LECT NOTES MATH, V958
  • [4] VANKAMPEN THEOREMS FOR DIAGRAMS OF SPACES
    BROWN, R
    LODAY, JL
    [J]. TOPOLOGY, 1987, 26 (03) : 311 - 335
  • [5] SOME COMPUTATIONS OF NON-ABELIAN TENSOR-PRODUCTS OF GROUPS
    BROWN, R
    JOHNSON, DL
    ROBERTSON, EF
    [J]. JOURNAL OF ALGEBRA, 1987, 111 (01) : 177 - 202
  • [6] ASPHERICAL GROUP PRESENTATIONS
    CHISWELL, IM
    COLLINS, DJ
    HUEBSCHMANN, J
    [J]. MATHEMATISCHE ZEITSCHRIFT, 1981, 178 (01) : 1 - 36
  • [7] ON 5 WELL-KNOWN COMMUTATOR IDENTITIES
    ELLIS, GJ
    [J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1993, 54 : 1 - 19
  • [8] TENSOR-PRODUCTS AND Q-CROSSED MODULES
    ELLIS, GJ
    [J]. 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
    ELLIS, GJ
    [J]. GLASGOW MATHEMATICAL JOURNAL, 1987, 29 : 13 - 19
  • [10] Hall Jr M., 1964, GROUPS ORDER 2
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