Number theoretic characterization of the subgroups and factor groups of a finite cyclic group
作者:
LeonardG. Swanson†,
RodneyT. Hansen,
期刊:
International Journal of Mathematical Education in Science and Technology
(Taylor Available online 1979)
卷期:
Volume 10,
issue 3
页码: 455-460
ISSN:0020-739X
年代: 1979
DOI:10.1080/0020739790100316
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
This paper examines the structure of the subgroups and factor groups of finite cyclic groups by using number theoretic techniques. Such number theoretic concepts as the g.c.d., the 1.c.m., and the Euler phi function are used to characterize various subgroups and factor groups. Results relative to the orders of subgroups are also developed. It is also shown that certain group properties yield number theoretic results.
点击下载:
PDF (254KB)
返 回