Trudy Instituta Matematiki i Mekhaniki UrO RAN
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Trudy Inst. Mat. i Mekh. UrO RAN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2011, Volume 17, Number 4, Pages 244–257 (Mi timm768)  

Strongly $(s-2)$-uniform extensions of partial geometries $pG_\alpha(s,t)$

M. S. Nirova

Kabardino-Balkar State University
References:
Abstract: A geometry of rank $2$ is an incidence system $(P,\mathcal B)$, where $P$ is a set of points and $\mathcal B$ is a family of subsets from $P$, which are called blocks. Two points from $P$ are called collinear if they lie in the same block from $\mathcal B$. A pair $(a,B)$ from $(P,\mathcal B)$ is called a flag if the point $a$ belongs to the block $B$ and an antiflag otherwise. A geometry is called $\varphi$-uniform if, for any antiflag $(a,B)$, the number of points in the block $B$ that are collinear to the point $a$ is either $0$ or $\varphi$; it is called strongly $\varphi$-uniform if this number is always $\varphi$. In this paper, we study strongly $(s-2)$-uniform extensions of partial geometries $pG_\alpha(s,t)$.
Keywords: partial geometry, uniform extension.
Received: 10.04.2011
Bibliographic databases:
Document Type: Article
UDC: 519.17
Language: Russian
Citation: M. S. Nirova, “Strongly $(s-2)$-uniform extensions of partial geometries $pG_\alpha(s,t)$”, Trudy Inst. Mat. i Mekh. UrO RAN, 17, no. 4, 2011, 244–257
Citation in format AMSBIB
\Bibitem{Nir11}
\by M.~S.~Nirova
\paper Strongly $(s-2)$-uniform extensions of partial geometries $pG_\alpha(s,t)$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2011
\vol 17
\issue 4
\pages 244--257
\mathnet{http://mi.mathnet.ru/timm768}
\elib{https://elibrary.ru/item.asp?id=17870441}
Linking options:
  • https://www.mathnet.ru/eng/timm768
  • https://www.mathnet.ru/eng/timm/v17/i4/p244
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
    Statistics & downloads:
    Abstract page:189
    Full-text PDF :67
    References:39
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024