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seen Aug 27 at 12:26

" The moving power of mathematical invention is not reasoning but imagination. "

— Augustus De Morgan


Aug
27
asked Proving $|G|=pq$ and $p>q$ , $q$ does not divide $p-1$ $\implies$ $G$ is cyclic , without using Cauchy's and Sylow's theorems
Aug
27
accepted $G_i$ s are normal subgroups , then $\bigl[G:\bigcap_{i=1}^n G_i \bigr]\Bigm|\prod_{i=1}^n[G:G_i]$?
Aug
26
asked $G_i$ s are normal subgroups , then $\bigl[G:\bigcap_{i=1}^n G_i \bigr]\Bigm|\prod_{i=1}^n[G:G_i]$?
Aug
26
accepted If every element of $H$ and $G/H$ is a square , then to prove that so is every element of $G$
Aug
26
accepted $|f(x)-f(y)|<|x-y|$ on a non-empty closed bounded set of real numbers
Aug
25
accepted $|p- \dfrac xn|>|q- \dfrac xn|$ $\implies$ $p^x(1-p)^{n-x}<q^x(1-q)^{n-x}$?
Aug
24
asked $H$ is a given subgroup such that for any subgroup $K$ , $HK$ is also a subgroup , then is $H$ normal in $G$?
Aug
23
comment Relation between $|H \lor K|$ , $|H|$ and $|K|$
@AlexR: What is $F$ ?
Aug
23
accepted $\lim (x_n-y_n)=0$ $\implies$ $\lim \Big(\dfrac {x_n}{y_n}\Big)=1$ ?
Aug
23
asked Relation between $|H \lor K|$ , $|H|$ and $|K|$
Aug
23
asked $\lim (x_n-y_n)=0$ $\implies$ $\lim \Big(\dfrac {x_n}{y_n}\Big)=1$ ?
Aug
21
asked $|p- \dfrac xn|>|q- \dfrac xn|$ $\implies$ $p^x(1-p)^{n-x}<q^x(1-q)^{n-x}$?
Aug
20
comment If $p\mid|G|$ then how many elements of order $p$ are there in $G$?
but , but both the materials say that the congruence holds for no. of solutions of $x^p=e$ , though I want the no. of solutions of $o(x)=p$ , shouldn't it be different ?
Aug
20
comment If $p\mid|G|$ then how many elements of order $p$ are there in $G$?
@Taro: yes , true
Aug
20
comment If $p\mid|G|$ then how many elements of order $p$ are there in $G$?
@Ivan: yes ... how that helps ?
Aug
20
asked If $p\mid|G|$ then how many elements of order $p$ are there in $G$?
Aug
20
asked $\sum_{k=1}^n \lfloor kx \rfloor =$ ?
Aug
19
revised $\lim_{x \to \infty} f(x)=1 $ $\implies$ $f(x) \sin x$ is uniformly continuous on $\mathbb R$?
added 11 characters in body; edited title
Aug
19
asked $\lim_{x \to \infty} f(x)=1 $ $\implies$ $f(x) \sin x$ is uniformly continuous on $\mathbb R$?
Aug
18
comment No. of homomorphisms from $\mathbb Z_n$ to $\mathbb Q$
@angryavian: yes !!! , there is no such non-zero $g$ in $Q$ , thanks