Geodesic
Normal subgroups of the multiplicative group of a ring
Sbornik. Mathematics, Tome 16 (1972) no. 3, pp. 349-362 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the paper we study the construction of $K$-linearly independent normal subgroups of the multiplicative group $U(R)$ of an algebra $R$ over a ring $K$ of characteristic $p^m$ and their ordering inside the groups $U(R)$. We also describe the group rings whose multiplicative group contains a $K$-linearly independent normal subgroup not belonging to the center and containing an element of finite order. We also study abelian normal subgroups of the multiplicative group of the ring of a $p$-group over a ring of characteristic $p$. Bibliography: 10 titles. 
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A. A. Bovdi; I. I. Khripta. Normal subgroups of the multiplicative group of a ring. Sbornik. Mathematics, Tome 16 (1972) no. 3, pp. 349-362. http://geodesic.mathdoc.fr/item/SM_1972_16_3_a2/

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