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Apr
29
comment Are Z and Z* (defined below) isomorphic as rings?
+1, transport of structure.
Apr
27
comment Solving a Word Problem relating to factorisation
Please use $\LaTeX$ to format your questions/answers. Also, people here on MSE appreciate seeing what you have tried.
Apr
26
revised Formal product of cycles in a permutation group
added 132 characters in body
Apr
26
revised Formal product of cycles in a permutation group
edited body
Apr
26
answered Formal product of cycles in a permutation group
Apr
26
revised $\bigcup_{n=1}^{\infty}G_n $ is a multiplicative subgroup of the group $\mathbb C\setminus\{0\}$
LaTeX editing
Apr
25
comment Motivation for proving any nontrivial normal subgroup of $A_5$ has a 3-cycle?
Just to add to @TobiasKildetoft comment, $a^b = a [a, b]$.
Apr
24
answered Question about normal subgroups and conjugacy
Apr
24
answered Image and Kernel of composition of two homomorphisms
Apr
24
comment Showing $\mathbb{Q} \times \mathbb{Q}$ is not a field
You should have seen that in a field, a product is zero iff one of the factors is zero. Because if $a b = 0$, and $b \ne 0$, you can multiply by $b^{-1}$ to get $a = 0$.
Apr
24
answered Showing $\mathbb{Q} \times \mathbb{Q}$ is not a field
Apr
24
comment Nomenclature for linear transformation
Most likely the symbol is "$\mid$", and as noted it means "restricted to". Please try and use $\LaTeX$ to get the symbols right.
Apr
23
comment Number of errors detected from a generator matrix
There are two codewords $00000$ and $10100$ at distance $2$, so you can go from one to the other with two errors, and you won't notice.
Apr
23
revised Number of errors detected from a generator matrix
added 367 characters in body
Apr
23
answered Number of errors detected from a generator matrix
Apr
22
comment How do I get the Rational Canonical Form from the minimal and characteristic polynomials?
Yes. The relevant Wikipedia article gives some more details.
Apr
22
comment Direct sum and $FG$ homomorphism
Look, $\pi$ acts like this. Take $z \in V$. You can write it uniquely as $z = z_{1} + \dots + z_{r}$, with $z_{i} \in U_{i}$. Now $\pi$ tales $z$ to $z_{i}$. Take $v = v_{1} + \dots + v_{r}$, with $v_{i} \in U_{i}$. Then $z = v g = v_{1} g + \dots v_{r} g$. Since $v_{i} g \in U_{i}$, we have $z_{i} = v_{i} g$. Now $\pi$ takes $z$ to $z_{i}$, that is, $v g$ to $v_{i} g$.
Apr
22
answered How do I get the Rational Canonical Form from the minimal and characteristic polynomials?
Apr
22
answered Why can I cancel in modular arithmetic when working modulus a prime number?
Apr
22
answered Direct sum and $FG$ homomorphism