Abstract.
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 0(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 M0(G).
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Received: 26 June 2006
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Maxson, C.J., Pettet, M.R. Maximal subrings and E-groups. Arch. Math. 88, 392–402 (2007). https://doi.org/10.1007/s00013-006-1169-0
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DOI: https://doi.org/10.1007/s00013-006-1169-0