Vol. 33, No. 3, 1970

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On uniqueness of central decompositions of groups

Francis C.Y. Tang

Vol. 33 (1970), No. 3, 749–761
Abstract

In this paper a condition for two central decompositions of a group into centrally indecomposable factors to be isomorphic modulo the center is derived. Using this result a larger class of groups with central decompositions into centrally indecomposable factors isomorphic modulo the center than that of an earlier work of the author is determined. An example of a group having two central decompositions into centrally indecomposable factors which are not isomorphic modulo the center is also obtained.

Mathematical Subject Classification
Primary: 20.52
Milestones
Received: 14 July 1969
Published: 1 June 1970
Authors
Francis C.Y. Tang