$PSL_2(q)$在奇特征除$q-1$中的非分裂覆盖的自同构
Automorphisms of nonsplit coverings of $PSL_2(q)$ in odd characteristic dividing $q-1$
摘要:
本文对初等交换$p$ -群的非分裂扩张进行了$PSL_2(q)$分类,其中奇$p$整除$q-1$,对于不可约诱导作用量,计算了相应的低维上同调群,并刻画了这类扩张的自同构群.
英文摘要:
We classify the nonsplit extensions of elementary abelian $p$-groups by $PSL_2(q)$, with odd $p$ dividing $q-1$, for an irreducible induced action, calculate the relevant low-dimensional cohomology groups, and describe the automorphism groups of such extensions.
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。