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13 Questions

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8	Proving that $\mathbb{R^*}$ is not a cyclic group
2	Polynomial ring as a ring of functions
2	What is an example of a group G where $\|G\|=\|\text{Stabilizer(G)}\|\|\text{Orbital(G)}\|$
2	Is there a non-abelian group where $\|ab\|=5$ such that $a^5 b^5 = e$
2	Does there exists an abelian or nonabelian group G where $\|Z(G)\|=p^2$ for p a prime?

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145 Reputation

+5	What is an example of a group G where $\|G\|=\|\text{Stabilizer(G)}\|\|\text{Orbital(G)}\|$
+10	Proving that $\mathbb{R^*}$ is not a cyclic group
+5	Is it true that when $ I$ has a term ordering on $R$ where $I$ is an ideal of $R$ then $I$ has a Grobner basis with respect to $\leq$
+5	Prove that f(x) divides $x^{p^n} - x $ iff deg(f(x)) = $d$ divides $n$

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0 abstract-algebra × 12	0 linear-algebra
0 group-theory × 4	0 notation
0 ring-theory × 4	0 combinatorics

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