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Cayley's Theorem

Formalized Mathematics

Volume 19 (2011): Issue 4 (December 2011)

By: Artur Korniłowicz

Open Access

|Apr 2012

Abstract

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

References

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

Articles in this issue

DOI: https://doi.org/10.2478/v10037-011-0030-5 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630

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Language: English

Page range: 223 - 225

Published on: Apr 26, 2012

Published by: University of Białystok

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Related subjects:

Logic and set theory,

Computer sciences,

Artificial intelligence

© 2012 Artur Korniłowicz, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 4 (December 2011)