ERIC Number: EJ959254
Record Type: Journal
Publication Date: 2011-May
Pages: 8
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
EISSN: N/A
Counting Subgroups in a Direct Product of Finite Cyclic Groups
Petrillo, Joseph
College Mathematics Journal, v42 n3 p215-222 May 2011
We calculate the number of subgroups in a direct product of finite cyclic groups by applying the fundamental theorem of finite abelian groups and a well-known structure theorem due to Goursat. We also suggest ways in which the results can be generalized to a direct product of arbitrary finite groups.
Descriptors: Mathematics Instruction, Computation, Mathematical Logic, Validity, Higher Education, College Mathematics, Classification, Mathematics Education, Teaching Methods
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A