or by exploring Math Stack Exchange for specific problem discussions. Dummit and Foote Solutions - Greg Kikola
[ \beginaligned \textOrb(x) &= g \cdot x \mid g \in G \ \textStab(x) &= g \in G \mid g \cdot x = x \ |G| &= |\textOrb(x)| \cdot |\textStab(x)| \ \textClass equation: |G| &= |Z(G)| + \sum_i=1^k [G : C_G(g_i)] \ \textBurnside’s Lemma: #\textorbits &= \frac1 \sum_g \in G |\textFix(g)| \endaligned ]
Dummit Foote Solutions Chapter 4 =link= Page
or by exploring Math Stack Exchange for specific problem discussions. Dummit and Foote Solutions - Greg Kikola
[ \beginaligned \textOrb(x) &= g \cdot x \mid g \in G \ \textStab(x) &= g \in G \mid g \cdot x = x \ |G| &= |\textOrb(x)| \cdot |\textStab(x)| \ \textClass equation: |G| &= |Z(G)| + \sum_i=1^k [G : C_G(g_i)] \ \textBurnside’s Lemma: #\textorbits &= \frac1 \sum_g \in G |\textFix(g)| \endaligned ] dummit foote solutions chapter 4