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The Units of Group‐Rings
when addition and multiplication are defined in the obvious way, form a ring, the group-ring of G over K, which will be denoted by R (G, K). Henceforward, we suppose that K has the modulus 1, and we
Subgroups of finitely presented groups
  • G. Higman
  • Mathematics
    Proceedings of the Royal Society of London…
  • 8 August 1961
The main theorem of this paper states that a finitely generated group can be embedded in a finitely presented group if and only if it has a recursively enumerable set of defining relations. It
The centres of symmetric group rings
A set of generators is exhibited for the centre of the integral group ring of the symmetric group on n letters. As an application, a new proof is obtained of Nakayama’s criterion for two
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