Basic Subgroups in Semi-simple Abelian Group Rings

10.6988/TOJIMS.201105.0159

Peter V. Danchev

Basic subgroups ； Group rings ； Units ； Pure subgroups ； Divisible groups ； Direct sums of cyclic groups

Tamsui Oxford Journal of Information and Mathematical Sciences

27卷2期（2011 / 05 / 01）

159 - 164

英文

We consider the question of finding in an explicit form a basic subgroup of the group S (KG) of normalized invertible p-elements in a group ring KG where K is a field of char (K)≠p and G is an abelian p-group. In some partial cases the problem is completely resolved.

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