On the capability of groups

Ellis, Graham

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1998-10-01

Author

Ellis, Graham

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Ellis, Graham (1998). On the capability of groups. Proceedings of the Edinburgh Mathematical Society 41 , 487-495

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https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0393D81BDB97E0C963B462981CD4F963/S0013091500019842a.pdf/div-class-title-on-the-capability-of-groups-div.pdf

Abstract

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.

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http://hdl.handle.net/10379/9114

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