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MeditationOrBust
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2 votes
2 answers
112 views

Proof by induction: base case for a limit as x goes to infinity?

2 votes
2 answers
48 views

For each element $x$ of group $H$ let $F(x) = \{ h \in H :hxh^{-1} = x\}$ For any $d\in H$, prove the equality $F(d) = F(d^{-1})$

2 votes
1 answer
57 views

Let $G= \langle \mu \rangle$ be the subgroup $S_4$ generated by $\mu $...?

1 vote
1 answer
64 views

Let $G=\langle\mu\rangle$ be the subgroup of $S_4$, now compute the coset of $G$ using...?

1 vote
1 answer
59 views

Given subgroup of $S_4$ how many cosets does it have?

1 vote
0 answers
59 views

Proof help-- Is the function $f: \mathbf{Z}_5 \rightarrow \mathbf{Z}_{30}$ given by $f(x)=6x$ a ring homomorphism?

1 vote
0 answers
143 views

Let $f$ be the ring automorphism of $\mathbf{C}$. Prove $f(1) = 1$

1 vote
0 answers
59 views

Let $f$ be the ring automorphism of $\mathbf{C}$. Prove $f(-1) = -1$. Verificaiton?

1 vote
0 answers
678 views

If $f: R \rightarrow S$ is a ring homomorphism and $J$ is an ideal of $S$, prove that $I=\{i \in R: f(i) \in J\}$ is an ideal of $R$.

1 vote
1 answer
137 views

Feedback on Proof of: $A =\{ 3^n\mid n \in\Bbb Z\}$. Is $A$ subgroup of $(\mathbb{R}^*, \cdot)$?

1 vote
1 answer
77 views

Symmetric property of $x \in G$ such that $a = xbx^{-1}$

1 vote
1 answer
74 views

$\mathbf{R}^*$ be a group where the operation is multiplication, the group G is 2x2 matrices with non-zero determinant. Is f isomorphic and ...?

1 vote
2 answers
52 views

Prove equivalence relation of $S=\{1,2,3,\dots,10\}$ where $a \sim b$ if $a/b$ is a power of 2.

1 vote
2 answers
184 views

Proving a function is surjective, what exactly should our assumption be?

0 votes
1 answer
132 views

Recurrence Tree Method: $T(n) = 3(2n/3) + 1$ Why is the solution in $\log_{3/2}$ and not base $\log 2/3$?

0 votes
1 answer
59 views

If a is a multiple of b, then prove $\mathbf{Z}_a /\langle b \rangle = \mathbf{Z}_b$

-1 votes
3 answers
257 views

Proof by induction: L'Hospital rule doesn't work, what next?