论文标题

平行性和(Aggine)SL(2,q) - 单位的翻译

Parallelisms and Translations of (Affine) SL(2,q)-Unitals

论文作者

Möhler, Verena

论文摘要

可以通过并行性作为仿射单位的封闭来获得单位。闭合的同构类型取决于所选的并行性,这不必是唯一的。对于Aggine $ \ operatorname {SL}(2,Q)$ - 单元,我们引入了一类并行式的奇数顺序,一个用于平方顺序。 翻译是单位物质的自动形态,通过给定的中心固定每个块。对于Aggine $ \ operatotorname {SL}(2,Q)$ - 单位的每个已知的并行性,我们计算了所有可能的翻译,并在Infinity的块上具有中心。

Unitals can be obtained as closures of affine unitals via parallelisms. The isomorphism type of the closure depends on the chosen parallelism, which need not be unique. For affine $\operatorname{SL}(2,q)$-unitals, we introduce a class of parallelisms for odd order and one for square order. Translations are automorphisms of unitals, fixing each block through a given center. For each of the known parallelisms of affine $\operatorname{SL}(2,q)$-unitals, we compute all possible translations with centers on the block at infinity.

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