# Robert

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bio website robertcardona.tk location California age 23 member for 2 years, 3 months seen 12 hours ago profile views 545

Graduate Student in Pure Mathematics. Interested in

1. Commutative Algebra
2. Homological Algebra
3. Clifford Algebras
4. Algebraic Geometry
5. Elementary/Algebraic/Analytic Number Theory
6. Algebraic/Elementary Graph Theory/Combinatorics
7. Geometric Measure Theory
8. Real/Complex Analysis
9. Topology

# 34 Questions

 13 Show $\langle a^m \rangle \cap \langle a^n \rangle = \langle a^{\operatorname{lcm}(m, n)}\rangle$ 5 Open Source Abstract Algebra Textbooks 5 $G$ group, $H \trianglelefteq G$, $\vert H \vert$ prime, then $H \leq Z(G)$ 5 Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$. 4 Equivalent Definition of Continuity

# 1,186 Reputation

 +5 Show $\langle a^m \rangle \cap \langle a^n \rangle = \langle a^{\operatorname{lcm}(m, n)}\rangle$ +25 Open Source Abstract Algebra Textbooks +5 Countable Additivity of Measure Proof +10 Executing a proof given a homeomorphism

 6 Number of homomorphism from $S_3$ to $\mathbb Z_6$ 6 Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$. 6 Proving that the set of limit points of a set is closed 5 $H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$ 4 Show that $d_b(x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric.

# 53 Tags

 27 abstract-algebra × 25 7 field-theory × 6 13 group-theory × 13 7 irreducible-polynomials × 4 12 finite-groups × 8 6 metric-spaces × 6 9 general-topology × 8 6 polynomials × 3 9 ring-theory × 5 3 homework × 6

# 16 Accounts

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