@article{cavior1975subgroups, title={The subgroups of the dihedral group}, author={Cavior, Stephan R}, journal={Mathematics Magazine}, volume={48}, number={2}, pages={107--107}, year={1975}, publisher={Taylor \& Francis} } @article{calugareanu2004total, title={The total number of subgroups of a finite abelian group}, author={Calugareanu, Grigore}, journal={Scientiae Mathematicae Japonicae}, volume={60}, number={1}, pages={157--168}, year={2004}, publisher={Osaka, Japan: Japanese Association of Mathematical Sciences, 2001-} } @book{Benson2012, title={A Primer on Mapping Class Groups}, author={Farb Benson and Margalit Dan}, year={2012}, publisher={Princeton University Press} } @article{miller1940subgroups, title={Subgroups of the Groups Whose Orders Are Below Thirty}, author={Miller, GA}, journal={Proceedings of the National Academy of Sciences of the United States of America}, volume={26}, number={8}, pages={500--502}, year={1940}, publisher={National Academy of Sciences} } @article{tuarnuauceanu2010arithmetic, title={An arithmetic method of counting the subgroups of a finite abelian group}, author={T{\u{a}}rn{\u{a}}uceanu, Marius}, journal={Bulletin math{\'e}matique de la Soci{\'e}t{\'e} des Sciences Math{\'e}matiques de Roumanie}, pages={373--386}, year={2010}, publisher={JSTOR} } @article{cameron2010counting, title={Counting Ring Homomorphisms}, author={Cameron, Alex}, journal={Pi Mu Epsilon Journal}, volume={13}, number={2}, pages={65--67}, year={2010}, publisher={JSTOR} } @article{misaghian2013factor, title={Factor Rings and their decompositions in the Eisenstein integers Ring $$\{$$\backslash$huge$\backslash$mathbb $\{$Z$\}$$\}$$\backslash$left [$\backslash$omega$\backslash$right] $}, author={Misaghian, Manouchehr}, journal={Armenian Journal of Mathematics}, volume={5}, number={1}, pages={58--68}, year={2013}, publisher={National Academy of Sciences of Armenia} } @article{saleh1998number, title={The Number of Ring Homomorphisms from $Z_{m_1}\times Z_{m_2}\times\dots\times Z_{m_r}$ to $Z_{k_1}\times Z_{k_2}\times\dots\times Z_{k_s}$}, author={Saleh, Mohammad and Yousef, Hasan}, journal={The American mathematical monthly}, volume={105}, number={3}, pages={259--260}, year={1998} } @article{conrad2000dihedral, title={Dihedral groups}, author={Conrad, Keith}, journal={Spletni vir: http://www. math. uconn. edu/\~{} kconrad/blurbs/grouptheory/dihedral. pdf}, year={Retrieved} } @article{conrad2009dihedral, title={Dihedral groups II}, author={Conrad, Keith}, journal={http://www.math.uconn.edu/~kconrad/blurbs/grouptheory/dihedral2.pdf}, year={Retrieved} } @book{gallian2010contemporary, title={Contemporary Abstract Algebra}, author={Gallian, Joseph A}, year={1994}, publisher={D.C.Heath and Company} } @book{dummit2004abstract, title={Abstract algebra}, author={Dummit, David Steven and Foote, Richard M}, year={2003}, publisher={Wiley Hoboken} }