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TheForumLord
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Homework Statement
1. Let Dn be the dihedral group of order 2n, n>2 .
A. Prove that each non-commutative sub-group of Dn isomorphic to Dm for some m.
B. Who are all the non-commutative subgroups of D12?
2. Let G be the group of all the matrices from the form:
1 a c
0 1 b
0 0 1
where a,b,c are in Z and the binary action is matrix multiplication.
What is the center of this group?
Homework Equations
The Attempt at a Solution
I'll be glad to receive some guidance in these two questions... All the ways I can think about are very not elegant ... There are probably some elegant ways out there...
Thanks in advance!