Robert

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bio	website	robertcardona.tk
	location	California
	age	22
visits	member for	1 year, 1 month
	seen	yesterday
stats	profile views	238

Undergraduate Student in Computer Engineering and Pure Mathematics; main focus being on Mathematics. Interested in Graph Theory, Combinatorics and Abstract Algebra.

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24 Questions

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10	Show $\langle a^m \rangle \cap \langle a^n \rangle = \langle a^{\operatorname{lcm}(m, n)}\rangle$
5	Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$.
5	$G$ group, $H \trianglelefteq G$, $\vert H \vert$ prime, Prove $H \leq Z(G)$,
4	No field properly between $\mathbb Q$ and $E$ iff $G(K/\mathbb Q) \cong A_4$ or $S_4$
4	If a normed space $X$ is reflexive, show that $X'$ is reflexive.

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785 Reputation

+15	Prove $(2, x)$ is not a free $R$-module.
+5	$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$
+10	$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$
+5	Prove that there are no simple groups of order 224.

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21 Answers

votes activity newest

5	Show $x^6 + 1.5x^5 + 3x - 4.5$ is irreducible in $\mathbb Q[x]$.
4	$H$ normal in $G$. Need $G$ contain a subgroup isomorphic to $G/H$
3	Let $R$ be a commutative ring and let $I$ and $J$ be ideals of $R$. Show $IJ$ is an ideal of $R$.
3	Show that $d_b(x,y)=\frac{d(x,y)}{1+d(x,y)}$ is a metric.
2	Definition of a Ring

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42 Tags

16 abstract-algebra × 22	5 ring-theory × 5
6 field-theory × 6	5 polynomials × 3
6 irreducible-polynomials × 4	3 metric-spaces × 5
5 group-theory × 12	2 homework × 5
5 finite-groups × 7	2 commutative-algebra

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331 Votes Cast

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