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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