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Commutative group algebras. (English) Zbl 0182.04401


MSC:

20C05 Group rings of finite groups and their modules (group-theoretic aspects)

Keywords:

group theory
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References:

[1] Ian G. Connell, On the group ring, Canad. J. Math. 15 (1963), 650 – 685. · Zbl 0121.03502 · doi:10.4153/CJM-1963-067-0
[2] Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1962. · Zbl 0131.25601
[3] W. E. Deskins, Finite Abelian groups with isomorphic group algebras, Duke Math. J. 23 (1956), 35 – 40. · Zbl 0075.23905
[4] Graham. Higman, The units of group-rings, Proc. London Math. Soc. (2) 46 (1940), 231 – 248. · Zbl 0025.24302 · doi:10.1112/plms/s2-46.1.231
[5] K. W. Gruenberg, Resolutions by relations, J. London Math. Soc. 35 (1960), 481 – 494. · Zbl 0101.01601 · doi:10.1112/jlms/s1-35.4.481
[6] Gerald Losey, On dimension subgroups, Trans. Amer. Math. Soc. 97 (1960), 474 – 486. · Zbl 0119.26501
[7] Masayoshi Nagata, Local rings, Interscience Tracts in Pure and Applied Mathematics, No. 13, Interscience Publishers a division of John Wiley & Sons New York-London, 1962. · Zbl 0123.03402
[8] Sam Perlis and Gordon L. Walker, Abelian group algebras of finite order, Trans. Amer. Math. Soc. 68 (1950), 420 – 426. · Zbl 0038.17301
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