Article
Licensed
Unlicensed
Requires Authentication
Factorization Results with Combinatorial Proofs
-
Keresztély Corrádi
Published/Copyright:
January 26, 2010
Abstract
Two results on factorization of finite abelian groups are proved using combinatorial character free arguments. The first one is a weaker form of Rédei's theorem and presented only to motivate the method. The second one is an extension of Rédei's theorem for elementary 2-groups, which was originally proved by means of characters.
Keywords.: Factorization of finite abelian groups; normalized subset; normalized factorization; Rédei's theorem
Received: 2009-06-27
Accepted: 2009-09-18
Published Online: 2010-01-26
Published in Print: 2009-December
© de Gruyter 2009
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On the Complexity of n-Player Hackenbush
- On the Equation ax ≡ x (mod b)
- A New Generalization of Fibonacci Sequence & Extended Binet's Formula
- On Rainbow Solutions to an Equation with a Quadratic Term
- 2-Pile Nim with a Restricted Number of Move-Size Imitations
- The Finite Heine Transformation and Conjugate Durfee Squares
- A Short Note on the Difference Between Inverses of Consecutive Integers Modulo p
- Factorization Results with Combinatorial Proofs
- Squares in (12 + m2) ⋯ (n2 + m2)
- On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence
- Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins
- Une forme effective d'un théorème de Bateman sur la fonction phi d'Euler
- Differences of Multiple Fibonacci Numbers
Keywords for this article
Factorization of finite abelian groups;
normalized subset;
normalized factorization;
Rédei's theorem
Articles in the same Issue
- On the Complexity of n-Player Hackenbush
- On the Equation ax ≡ x (mod b)
- A New Generalization of Fibonacci Sequence & Extended Binet's Formula
- On Rainbow Solutions to an Equation with a Quadratic Term
- 2-Pile Nim with a Restricted Number of Move-Size Imitations
- The Finite Heine Transformation and Conjugate Durfee Squares
- A Short Note on the Difference Between Inverses of Consecutive Integers Modulo p
- Factorization Results with Combinatorial Proofs
- Squares in (12 + m2) ⋯ (n2 + m2)
- On Monochromatic Sets of Integers Whose Diameters Form a Monotone Sequence
- Palindromes in Different Bases: A Conjecture of J. Ernest Wilkins
- Une forme effective d'un théorème de Bateman sur la fonction phi d'Euler
- Differences of Multiple Fibonacci Numbers
