On the k(GV)-Problem with a Cyclic Sylow 2-Subgroup

• 来源期刊: 代数集刊（英文版）
• 关键词: block regular orbit permutation module
• 年，卷（期）: 2002,（2）
• 页码范围: 163-175
• 页数: 13页
• 语种: 英文

摘要

In this paper, we prove that, for a finite group G with a cyclic Sylow 2-subgroup, the k(GV)-problem has an affirmative solution. Furthermore, we prove that, for such a group G, Brauer's k(B)-problem has an affirmative solution and Olsson's conjecture holds.