References
Ault, J. C., Watters, J. F.: Circle groups of nilpotent rings. Amer. math. Monthly80, 48–52 (1973)
Bachmann, F., Grünenfelder, L.: Homological methods and the third dimension subgroup. Commentarii math. Helvet.47, 526–531 (1972)
Bergman, G. M., Dicks, W.: On universal derivations. To appear in J. Algebra
Bovdi, A. A.: Group Rings (Russian) Ušgorod: Ušgorodskiî Gosudarstvennyî Universitet 1974
Eldridge, K. E.: On rings and groups of units. In: Coll. Math. Soc. János Bolyai6. Rings, Modules and Radicals. Keszthely (Hungary), 1971, pp. 171–191 (A. Kertész, ed.). Amsterdam: North Holland 1973
Gruenberg, K. W., Roseblade, J. E.: The augmentation terminals of certain locally finite groups. Canadian J. Math.24, 221–238 (1972)
Kaljulaid, U.: On the powers of the augmentation ideal (Russian). Izvestija Akad. Nauk Èston. SSR, Fiz. Mat.22, 1–21 (1973)
Kaloujnine, L.: Zum Problem der Klassification der endlichen metabelschenp-Gruppen. Wiss. Z. Humboldt-Univ. Berlin, math.-naturw. R.4, 1–7 (1955)
Kargapolov, M. I.: On solvable groups of finite rank (Russian). Algebra Logika1962, no. 5, 37–44
Kruse, R. L.: On the circle group of a nilpotent ring. Amer. math. Monthly77, 168–170 (1970)
Kruse, R. L., Price, D. T.: Nilpotent Rings. New York: Gordon and Breach 1969
Losey, G.: On the structure ofQ 2(G) for finitely generated groups. Canadian J. Math.25, 353–359 (1973)
Losey, G.:N-series and filtrations of the augmentation ideal. Canadian J. Math.26, 962–977 (1974)
Neroslavskiî, O. M.: Nilpotent groups that are the adjoint groups of rings (Russian). Izvestija Akad. Nauk BSSR, Ser. fiz.-mat. Nauk1971, no. 2, 122–124
Passi, I. B. S.: Polynomial functors. Proc. Cambridge philos. Soc.66, 505–512 (1969)
Passi, I. B. S., Sehgal, S. K.: Isomorphism of modular group algebras. Math. Z.129, 65–73 (1972)
Passi, I. B. S., Sehgal, S. K.: Group Rings. New York: M. Dekker, to appear
Passi, I. B. S., Sharma, S.: The third dimension subgroup modn. To appear in J. London math. Soc., II. Ser.
Passman, D. S.: Advances in group rings. To appear in Israel J. Math.
Rips, E.: On the fourth integer dimension subgroup. Israel J. Math.12, 342–346 (1972)
Sandling, R.: Note on the integral group ring problem. Math. Z.124, 255–258 (1972)
Sandling, R.: The dimension subgroup problem. J. Algebra21, 216–231 (1972)
Sandling, R.: Dimension subgroups over arbitrary coefficient rings. J. Algebra21, 250–265 (1972)
Sehgal, S. K.: On the isomorphism of integral group rings. I. Canadian J. Math.21, 410–413 (1969)
Sehgal, S. K.: On the isomorphism of integral group rings. II. Canadian J. Math.21, 1182–1188 (1969)
Sehgal, S. K.: Certain algebraic elements in group rings. To appear.
Zaleskii, A. E., Mihalev, A. V.: Group rings (Russian). In: Sovremennye Problemy Matematiki, Tom 2, pp. 5–118. Moscow: Itogi Nauki i Tehniki 1973
Ziegenbalg, J.: Periodische Normalteiler von Gruppenbasen isomorpher Gruppenringe. Dissertation, Eberhard-Karls-Universität zu Tübingen (1972)
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Sandling, R. Group rings of circle and unit groups. Math Z 140, 195–202 (1974). https://doi.org/10.1007/BF01214162
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DOI: https://doi.org/10.1007/BF01214162