Cayley's Theorem

Artur Korniłowicz

Formalized Mathematics (2011)

  • Volume: 19, Issue: 4, page 223-225
  • ISSN: 1426-2630

Abstract

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The article formalizes the Cayley's theorem saying that every group G is isomorphic to a subgroup of the symmetric group on G.

How to cite

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Artur Korniłowicz. "Cayley's Theorem." Formalized Mathematics 19.4 (2011): 223-225. <http://eudml.org/doc/267872>.

@article{ArturKorniłowicz2011,
abstract = {The article formalizes the Cayley's theorem saying that every group G is isomorphic to a subgroup of the symmetric group on G.},
author = {Artur Korniłowicz},
journal = {Formalized Mathematics},
keywords = {Cayley theorem},
language = {eng},
number = {4},
pages = {223-225},
title = {Cayley's Theorem},
url = {http://eudml.org/doc/267872},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Artur Korniłowicz
TI - Cayley's Theorem
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 4
SP - 223
EP - 225
AB - The article formalizes the Cayley's theorem saying that every group G is isomorphic to a subgroup of the symmetric group on G.
LA - eng
KW - Cayley theorem
UR - http://eudml.org/doc/267872
ER -

References

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  1. Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. Zbl06213858
  2. Grzegorz Bancerek. Monoids. Formalized Mathematics, 3(2):213-225, 1992. 
  3. Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107-114, 1990. 
  4. Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990. 
  5. Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990. 
  6. Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990. 
  7. Katarzyna Jankowska. Transpose matrices and groups of permutations. Formalized Mathematics, 2(5):711-717, 1991. 
  8. Artur Korniłowicz. The definition and basic properties of topological groups. Formalized Mathematics, 7(2):217-225, 1998. 
  9. Andrzej Trybulec. Classes of independent partitions. Formalized Mathematics, 9(3):623-625, 2001. 
  10. Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821-827, 1990. 
  11. Wojciech A. Trybulec and Michał J. Trybulec. Homomorphisms and isomorphisms of groups. Quotient group. Formalized Mathematics, 2(4):573-578, 1991. 

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