在一个特殊的循环上，dickson形式，以及与$ o_7(3)$相连的格

Mathematics of The Ussr-sbornik Pub Date : 1993-02-28 DOI:10.1070/SM1993V074N01ABEH003341

V. Burichenko

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引用次数: 5

摘要

描述了一种特殊的可交换序牟方环。利用这个循环，构造了一个三线性Dickson形式，它的自同构群是类型为Chevalley的群。接下来，在的帮助下，构建了一个27维的表示。这使得重新证明嵌入成为可能。描述了关于嵌入的类似构造。

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ON A SPECIAL LOOP, THE DICKSON FORM, AND THE LATTICE CONNECTED WITH $ O_7(3)$

A special commutative Moufang loop of order is described. With the help of this loop, a trilinear Dickson form is constructed whose automorphism group is a Chevalley group of type . Next, with the help of , a 27-dimensional representation is constructed for over , . This makes it possible to prove anew the embedding . A similar construction concerning the embedding is described.

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Mathematics of The Ussr-sbornik

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