
06268721
j
2014e.00615
Azarian, Mohammad K.
Some examples and remarks concerning groups.
Int. J. Algebra 7, No. 58, 363368 (2013).
2013
Hikari, Ruse
EN
H45
groups of small orders
alternating groups
Cauchy theorem
dihedral groups
Lagrange theorem
symmetric groups
Sylow theorems
examples
counterexamples
http://www.mhikari.com/ija/ija2013/ija582013/azarianIJA582013.pdf
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.