Vol. 140, No. 1, 1989

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A new proof of Rédei’s theorem

Keresztély Corrádi and Sándor Szabó

Vol. 140 (1989), No. 1, 53–61
Abstract

If a finite abelian group is expressed as the product of subsets each of which has a prime number of elements and contains the identity element, then at least one of the factors is a subgroup. This theorem was proved by L. Rédei in 1965. In this paper we will give a shorter proof.

Mathematical Subject Classification 2000
Primary: 20K01
Milestones
Received: 27 April 1987
Revised: 26 September 1988
Published: 1 November 1989
Authors
Keresztély Corrádi
Sándor Szabó