Name: On the Proof of a Theorem of Pálfy
Creator: Dobson, Edward
Keywords: CI-group, Euler's phi function, 0102 computer and information sciences, 0101 mathematics, 01 natural sciences, info:eu-repo/classification/udc/519.17

descriptionPublicationkeyboard_double_arrow_right Article 19 Oct 2006Publisher:The Electronic Journal of CombinatoricsJournal:The Electronic Journal of Combinatorics, volume 13 (eissn: 1077-8926,

Authors: Dobson, Edward;

doi: 10.37236/1154

handle: 20.500.12556/RUP-1454

On the Proof of a Theorem of Pálfy

- Summary
- Subjects
- Metrics

Abstract

Pálfy proved that a group $G$ is a CI-group if and only if $\vert G\vert = n$ where either $\gcd(n,\varphi(n)) = 1$ or $n = 4$, where $\varphi$ is Euler's phi function. We simplify the proof of "if $\gcd(n,\varphi(n)) = 1$ and $G$ is a group of order $n$, then $G$ is a CI-group".

Related Organizations

Mississippi Valley State University
United States
University of Primorska
Slovenia
Mississippi Institutions of Higher Learning
United States

Keywords

CI-group, Euler's phi function, info:eu-repo/classification/udc/519.17

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

gold

Fields of Science (3) View all

Fields of Science