关于群代数II的滤乘基
On filtered multiplicative bases of group algebras II
摘要：
我们给出了一个显式的列表，它包含了所有具有指数为p^2的循环子群的p-群G，使得特征为p的域K上的群代数KG具有滤子乘法K-基。证明了当G$是幂p-群或具有中心循环换位子群的2生成p-群（p \not =2）时，群代数KG不存在这样的K-基.本文是V. Bovdi在《群代数的滤乘基》（Basel）74（2000）81- 88的继续
英文摘要：
We give an explicit list of all p-groups G with a cyclic subgroup of index p^2, such that the group algebra KG over the field K of characteristic p has a filtered multiplicative K-basis. We also proved that such a K-basis does not exist for the group algebra KG, in the case when G$ is either a powerful p-group or a two generated p-group (p\not=2) with a central cyclic commutator subgroup. This paper is a continuation of the related V. Bovdi, On a filtered multiplicative basis of the group algebras Arch. Math. (Basel) 74 (2000) 81--88
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