A note on orthogonal similitude groups
نویسندگان
چکیده
منابع مشابه
A note on orthogonal similitude groups
Let V be a vector space over the field F such that charðF Þ 61⁄4 2, and let V have a symmetric nondegenerate bilinear form. Let GOðV Þ be the orthogonal similitude group for this symmetric form, with similitude character . We prove that if g 2 GOðV Þ with ðgÞ 1⁄4 , then g 1⁄4 t1t2 where t1 is an orthogonal involution, and t2 is such that t 2 2 1⁄4 I and ðt2Þ 1⁄4 . As an application, we obtain a...
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ژورنال
عنوان ژورنال: Linear and Multilinear Algebra
سال: 2006
ISSN: 0308-1087,1563-5139
DOI: 10.1080/03081080500209588