Hostname: page-component-78c5997874-8bhkd Total loading time: 0 Render date: 2024-11-10T16:16:00.079Z Has data issue: false hasContentIssue false

CORRIGENDUM: REPLACEMENT OF FACTORS BY SUBGROUPS IN THE FACTORIZATION OF ABELIAN GROUPS

Published online by Cambridge University Press:  08 February 2005

A. D. SANDS
Affiliation:
Department of Mathematics, Dundee University, Dundee, DD1 4HN, United Kingdom
Get access

Extract

The above-titled paper of mine appeared in the Bulletin of the London Mathematical Society, 32 (2000) 297–304. Regrettably, there is a careless error in the proofs of Theorems 6 and 8. In line 6 of the proof of Theorem 6, it is claimed that a certain subset must be a subgroup. For this to hold, the subset must contain the zero element. This need not be the case; the true deduction is that the subset is a coset, say $M+h$, of a subgroup $M$. Now $M$ and $M+h$ contain the same number of elements, and so the deduction that $M$ has $p$ elements is still correct.

Keywords

Type
Papers
Copyright
© The London Mathematical Society 2005

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)