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A non-abelian 2-group whose endomorphisms generate a ring, and other examples of E-groups
Published online by Cambridge University Press: 20 January 2009
Extract
Groups for which the distributively generated near-ring generated by the endomorphisms is in fact a ring are known as E-groups and are discussed in (3). R. Faudree in (1) has given the only published examples of non-abelian E-groups by presenting defining relations for a family of p–groups. However, as shown in (3), Faudree's group does not have the desired property when p = 2.
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- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 23 , Issue 1 , February 1980 , pp. 57 - 59
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- Copyright © Edinburgh Mathematical Society 1980
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