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The group of units of the integral group ring \(\mathbb{Z} D_4\). (English) Zbl 0379.20004

20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20C10 Integral representations of finite groups
Full Text: DOI
[1] S. D. BERMAN,On the equation x m =1in an integral group ring, Ukran, Mat. Z., (1955) 253–261.
[2] J. A. COHN and D. LIVINGSTONE,On the structure of group algebras 1, Can. J. of Math., 17,4, (1965), 583–593. · Zbl 0132.27404
[3] G. HIGMAN,The units of group rings, Proc. London Math. Soc., 2,4, (1940), 231–248. · Zbl 0025.24302
[4] I. HUGHES and K. R. PEARSON, The group of units of the integral group ring \(\mathbb{Z}\)S 3, Can. Math. Bull., 15,4, (1972), 529–534. · Zbl 0268.20004
[5] M. NEWMAN, Integral Matrices, Academic Press, New York, 1972.
[6] C. POLCINO,On the nilpotency of the group of units of group rings, Anais. Acad. Brasileira de Ci√™ncias, to appear. · Zbl 0856.16033
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