Is there an isomorphism between the dihedral group and the group defined by the transpose of the dihedral group's Cayley table?
Is the dihedral group isomorphic to its transpose?
0
$\begingroup$
abstract-algebra
group-theory
-
0What is the transpose of a group? – 2012-09-14
-
0@William -- edited. – 2012-09-14
-
0The Cayley table is not unique. Is it clear that you even get a group by transposing a group table? If it is a group, it must be the dihedral group, as there's no other non-abelian group of order 8 with so many elements of order 2. – 2012-09-14
-
4Perhaps my previous comment was a little silly. I think you are asking about the "opposite group" - see http://en.wikipedia.org/wiki/Opposite_group – 2012-09-14