余诱导模的子扩张
Subextensions for co-induced modules
摘要：
利用上同调方法，证明了具有交换核的群扩张嵌入到上诱导模的分裂扩张中的一个判别准则。这推广了一些早期的类似结果。我们还证明了关于余诱导模的分裂扩张中补的共轭性的一个断言。这两个结果遵循从一定的上同调群的同态之间的关系。
英文摘要：
Using cohomological methods, we prove a criterion for the embedding of a group extension with abelian kernel into the split extension of a co-induced module. This generalises some earlier similar results. We also prove an assertion about the conjugacy of complements in split extensions of co-induced modules. Both results follow from a relation between homomorphisms of certain cohomology groups.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
