多EGS群的子群的分支结构
Ramification structures for quotients of multi-EGS groups
摘要：
与曲线的高阶乘积同构的曲面相关的群可以用一个纯粹的群论条件来表征，即存在所谓的分歧结构。Gül和Uria-Albizuri证明了周期Griglouk-Gupta-Sidki群的分支（简称GGS-群）具有分歧结构。我们推广了他们的结果，证明了GGS-群的推广群，即多EGS群的推广群，也允许有分歧结构。
英文摘要：
Groups associated to surfaces isogenous to a higher product of curves can be characterised by a purely group-theoretic condition, which is the existence of a so-called ramification structure. Gül and Uria-Albizuri showed that quotients of the periodic Grigorchuk-Gupta-Sidki groups, GGS-groups for short, admit ramification structures. We extend their result by showing that quotients of generalisations of the GGS-groups, namely multi-EGS groups, also admit ramification structures.
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