Combinatorial Grassmannians

Andrzej Owsiejczuk

Formalized Mathematics (2007)

  • Volume: 15, Issue: 2, page 27-33
  • ISSN: 1426-2630

Abstract

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In the paper I construct the configuration G which is a partial linear space. It consists of k-element subsets of some base set as points and (k + 1)-element subsets as lines. The incidence is given by inclusion. I also introduce automorphisms of partial linear spaces and show that automorphisms of G are generated by permutations of the base set.

How to cite

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Andrzej Owsiejczuk. "Combinatorial Grassmannians." Formalized Mathematics 15.2 (2007): 27-33. <http://eudml.org/doc/266977>.

@article{AndrzejOwsiejczuk2007,
abstract = {In the paper I construct the configuration G which is a partial linear space. It consists of k-element subsets of some base set as points and (k + 1)-element subsets as lines. The incidence is given by inclusion. I also introduce automorphisms of partial linear spaces and show that automorphisms of G are generated by permutations of the base set.},
author = {Andrzej Owsiejczuk},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {27-33},
title = {Combinatorial Grassmannians},
url = {http://eudml.org/doc/266977},
volume = {15},
year = {2007},
}

TY - JOUR
AU - Andrzej Owsiejczuk
TI - Combinatorial Grassmannians
JO - Formalized Mathematics
PY - 2007
VL - 15
IS - 2
SP - 27
EP - 33
AB - In the paper I construct the configuration G which is a partial linear space. It consists of k-element subsets of some base set as points and (k + 1)-element subsets as lines. The incidence is given by inclusion. I also introduce automorphisms of partial linear spaces and show that automorphisms of G are generated by permutations of the base set.
LA - eng
UR - http://eudml.org/doc/266977
ER -

References

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  1. [1] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990. 
  2. [2] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
  3. [3] Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91-96, 1990. 
  4. [4] Grzegorz Bancerek. Zermelo theorem and axiom of choice. Formalized Mathematics, 1(2):265-267, 1990. 
  5. [5] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  6. [6] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  7. [7] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990. 
  8. [8] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990. 
  9. [9] Krzysztof Hryniewiecki. Basic properties of real numbers. Formalized Mathematics, 1(1):35-40, 1990. 
  10. [10] Wojciech Leończuk and Krzysztof Prażmowski. Incidence projective spaces. Formalized Mathematics, 2(2):225-232, 1991. Zbl0741.51010
  11. [11] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990. 
  12. [12] Andrzej Trybulec. Subsets of complex numbers. To appear in Formalized Mathematics. 
  13. [13] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990. 
  14. [14] Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25-34, 1990. 
  15. [15] Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9-11, 1990. 
  16. [16] Wojciech A. Trybulec. Axioms of incidency. Formalized Mathematics, 1(1):205-213, 1990. 
  17. [17] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990. 
  18. [18] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990. 
  19. [19] Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181-186, 1990. 

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