کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5776808 | 1413642 | 2017 | 8 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A gap result for Cameron-Liebler k-classes
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A gap result for Cameron-Liebler k-classes A gap result for Cameron-Liebler k-classes](/preview/png/5776808.png)
چکیده انگلیسی
The notion of Cameron-Liebler line classes was generalized in Rodgers et al. (0000) to Cameron-Liebler k-classes, where k=1 corresponds to the line classes. Such a set consists of x2k+1kq subspaces of dimension k in PG(2k+1,q) where kâ¥1 and xâ¥0 are integers such that every regular k-spread of PG(2k+1,q) contains exactly x subspaces from the set. Examples are known for xâ¤2. The authors of Rodgers et al. (0000) show that there are no Cameron-Liebler k-classes when k=2 and 3â¤xâ¤q, or when 3â¤kâ¤qlogqâq and 3â¤xâ¤qâ23. We improve these results by weakening the condition on the upper bound for x to a bound that is linear in q. For this, we use a technique that was originally used to extend nets to affine planes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 340, Issue 6, June 2017, Pages 1311-1318
Journal: Discrete Mathematics - Volume 340, Issue 6, June 2017, Pages 1311-1318
نویسندگان
Klaus Metsch,