可解群中的局部共轭性

中文摘要 AI 辅助

对于可解群，我们给出了两个正规幂零子群的局部共轭补子共轭的条件，类似于Losey和Stonehewer对有限群给出的条件。我们的证明依赖于第一上同调集的主型分解，这可能具有独立的意义。我们还给出了子群包含的局部条件和Glauberman风格的定点结果。

英文摘要

For prosolvable groups, we provide conditions under which two locally conjugate supplements of a normal pronilpotent subgroup are conjugate, analogous to those given by Losey and Stonehewer for finite groups. Our proof relies on a primary-type decomposition of the first cohomology set which may be of independent interest. We also give local conditions for subgroup inclusion and a fixed-point result in the style of Glauberman.

发表机构

• University of Chicago（芝加哥大学）

机构由 AI 辅助整理，请以论文原文为准。