Cayley's Theorem

• Autorzy: Artur Korniłowicz
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2011
• Tom: 19
• Numer: 4
• Strony: 223-225

Daty

wydano

2011-01-01

online

2012-04-26

Twórcy

autor

Artur Korniłowicz

• Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

Bibliografia

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

Identyfikatory

DOI

10.2478/v10037-011-0030-5