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Dimension subgroups. (English) Zbl 0159.31503


Keywords:

group theory
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[1] Cohn, P. M., Generalisation of a theorem of Magnus, (Proc. London Math. Soc., 57 (1952)), 297-310, (See correction at the end of the same volume) · Zbl 0047.02501
[2] Eilenberg, S.; Maclane, S., Cohomology theory in abstract groups, Ann. Math., 48, 51-78 (1947) · Zbl 0029.34001
[3] Gruenberg, K. W., Residual properties of infinite soluble groups, (Proc. London Math. Soc., 7 (1957)), 29-62 · Zbl 0077.02901
[4] Hall, P., Nilpotent groups, (Summer Seminar. Summer Seminar, Lecture Notes Canadian Math. Congr. (1957)) · Zbl 0072.25801
[5] Jennings, S. A., The structure of the group-ring of a p-group over a modular field, Trans. Am. Math. Soc., 50, 175-185 (1941) · Zbl 0025.24401
[6] Kaplansky, I., Infinite Abelian Groups (1962), Univ. of Michigan Press: Univ. of Michigan Press Ann Arbor, Michigan
[7] Losey, G., On dimension subgroups, Trans. Am. Math. Soc., 97, 474-486 (1960) · Zbl 0119.26501
[8] Losey, G., Math. Reviews, 26, 6260, 1187 (1963)
[9] Magnus, W., Über Beziehungen zwischen höheren Kommutatoren, J. reine angew. Math., 177, 105-115 (1937) · JFM 63.0065.01
[10] Northcott, D. G., An introduction to Homological Algebra (1960), Cambridge Univ. Press: Cambridge Univ. Press London · Zbl 0116.01401
[11] Passi, I. B.S, Polynomial maps on groups, J. Algebra, 9, 121 (1968) · Zbl 0159.31502
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