Thesis
Units in group rings
- Abstract:
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If G is any group, written multiplicatively, and K is any ring, then the finite formal sums
Expand abstract
k, g,+ k2' g2 + . . . + Kt Gt, Ki Ɛ K, Gi Ɛ G, (i=lj...,T)
form a ring, when addition and multiplication is defined inthe obvious way. This ring we call the group ring of Gover K, and we write it as R(G,K). Lore precisely, R(G,K)may be defined as a ring which is a linear set over K, andhas a basis which is a multiplicative group isomorphic to G.If K has the unity element 1, and if go is t...
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(Preview, Dissemination version, pdf, 38.9MB, Terms of use)
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Authors
- DOI:
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
- Language:
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English
- Deposit date:
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2026-05-26
- ARK identifier:
Terms of use
- Copyright holder:
- Graham Higman
- Copyright date:
- 1940
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