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Results tagged with gr.group-theory
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user 58888
Questions about the branch of algebra that deals with groups.
1
vote
Orbit size of an element
Assuming $G$ is a finite group: If $G_c$ is the stabilizer of $c$, then
$$ |Gc| = |G|/|G_c| $$
and
$$ |Hc| = |H|/|H\cap G_c| = |HG_c|/|G_c| $$
so
$$ \frac{|Gc|}{|Hc|} = \frac{|G|}{|HG_c|}. $$
EDIT: F …
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