Here is the group law for $\Bbb{Z}/6\Bbb{Z}$. As well as those other group law tables for small group order.
I noticed that no matter how you order the elements for a group, you can always Block-decompose the square multiplication table for group of order $|G| = mn$ into $m\times m$ submatrices...
2
In mathematics, or specifically, in differential topology, Ehresmann's lemma or Ehresmann's fibration theorem states that a smooth mapping
f
:
M
→
N
{\displaystyle f\colon M\rightarrow N}
where
M
{\displaystyle M}
and
N
{\displaystyle N}
are smooth manifolds such that
f
{\displaystyle f}
is
a surjective submersion, and
a proper map, (in particular, this condition is always satisfied if M is compact...
0
That is, does there exists triangle $T$ and regular $n$-gons (one for each $n \geq 3$) $R_3,...,R_{k+3},...$ such that $T=\bigcup_{n=3}^{+ \infty}R_n$ and $R_n \subset T$ for every $n \geq 3$ and if $m \neq n$ then $R_m \bigcap R_n$ is either empty or is a line segment or is a point?
This is jus...
