کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8897379 | 1630739 | 2018 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Embeddings of rank-2 tori in algebraic groups
ترجمه فارسی عنوان
پیوستن توری های رتبه 2 به گروه های جبری
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
چکیده انگلیسی
Let k be a field of characteristic different from 2 and 3. In this paper we study connected simple algebraic groups of type A2, G2 and F4 defined over k, via their rank-2 k-tori. Simple, simply connected groups of type A2 play a pivotal role in the study of exceptional groups and this aspect is brought out by the results in this paper. We refer to tori, which are maximal tori of An type groups, as unitary tori. We discuss conditions necessary for a rank-2 unitary k-torus to embed in simple k-groups of type A2, G2 and F4 in terms of the mod-2 Galois cohomological invariants attached with these groups. The results in this paper and our earlier paper ([6]) show that the mod-2 invariants of groups of type G2,F4 and A2 are controlled by their k-subgroups of type A1 and A2 as well as the unitary k-tori embedded in them.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 10, October 2018, Pages 3043-3057
Journal: Journal of Pure and Applied Algebra - Volume 222, Issue 10, October 2018, Pages 3043-3057
نویسندگان
Neha Hooda,