id: 06268721
dt: j
an: 2014e.00615
au: Azarian, Mohammad K.
ti: Some examples and remarks concerning groups.
so: Int. J. Algebra 7, No. 5-8, 363-368 (2013).
py: 2013
pu: Hikari, Ruse
la: EN
cc: H45
ut: groups of small orders; alternating groups; Cauchy theorem; dihedral
groups; Lagrange theorem; symmetric groups; Sylow theorems; examples;
counterexamples
ci:
li: http://www.m-hikari.com/ija/ija-2013/ija-5-8-2013/azarianIJA5-8-2013.pdf
ab: Summary: We present some examples and remarks which may be helpful to those
who are dealing with an abstract algebra or a first semester group
theory course. Alternating groups, dihedral groups, and symmetric
groups of small orders are treasure troves of elementary examples and
counter examples concerning groups.
rv: