Maximal subrings and E -groups

• Autores: C. J. Maxson, Martin R. Pettet
• Localización: Archiv der Mathematik, ISSN 0003-889X, Vol. 88, Nº. 5, 2007, págs. 392-402
• Idioma: inglés
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• Resumen

  • For a finite group G, let E(G) denote the near-ring of functions generated by the semigroup, End(G), of endomorphisms of G. We characterize when E(G) is maximal as a subnear-ring of M o(G). A group G is an E-group if E(G) is a ring. We give a new characterization of finite E-groups and investigate the problem of determining, for finite E-groups, when E(G) is maximal as a ring in Mo(G).