Finite groups with semisimple endomorphism rings
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- by Carter Lyons PDF
- Proc. Amer. Math. Soc. 53 (1975), 51-52 Request permission
Abstract:
If the near ring $E(G)$ generated by the endomorphisms of a finite group $G$ is a semisimple ring, or more generally, has square-free characteristic then it is shown that $G$ is abelian, a direct sum of elementary $p$-groups.References
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- Carlton J. Maxson, On groups and endomorphism rings, Math. Z. 122 (1971), no. 4, 294–298. MR 396654, DOI 10.1007/BF01110163
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 51-52
- MSC: Primary 16A76
- DOI: https://doi.org/10.1090/S0002-9939-1975-0382364-6
- MathSciNet review: 0382364