Reputation
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Jul
14
comment If $a,b \in$ group $G$ such that $a^2=e, a*b^4*a=b^7$, prove that $b^{33}=e$
Very nice, +1 Then one could note that in the dihedral group of order $66$, generated by an element $c$ of order $33$, and by an element $a$ of order $2$, one has $c a c = c^{-1}$, and for $b = c^{3}$, one has $a b^4 a = a c^{12} a = c^{-12} = c^{21} = (c^{3})^{7}= b^7$. So $b^{33} = 1$ is the best we can squeeze out of the relations.
Jul
13
reviewed Leave Open Looking for a verification or refutation my attempted proof of why the Collatz conjecture is probably false.
Jul
7
awarded  abstract-algebra
Jul
2
comment Factorizations of Finite Abelian Groups
Just a trivial comment, if you want uniqueness in the first decomposition, take $d_{i} > 1$.
Jul
1
revised how can one show that if $m$ and $n$ are co-prime, then $U_n$ and $U_m$ are also co-prime?
added 16 characters in body
Jun
30
revised how can one show that if $m$ and $n$ are co-prime, then $U_n$ and $U_m$ are also co-prime?
added 12 characters in body
Jun
30
revised What is the logic/theorem/derivation behind finding the exponent of p in n! By [n/p] + [n/p^2] + [n/p^3] + …?
Exchanged terms of summation
Jun
30
revised how can one show that if $m$ and $n$ are co-prime, then $U_n$ and $U_m$ are also co-prime?
added 85 characters in body
Jun
30
answered how can one show that if $m$ and $n$ are co-prime, then $U_n$ and $U_m$ are also co-prime?
Jun
30
revised Abelianization of a $p$ group.
My two cents, I mean, dollar signs
Jun
3
comment Proof: If $r \in R$ is irreducible then $ur$ is irreducible where $u$ is a unit.
It's either/or, as $r$ is irreducible.
May
28
revised Number of subsets of $\{0,1,2,…,9\}$ with symmetric difference $\leq 2$
added 107 characters in body
May
28
answered Number of subsets of $\{0,1,2,…,9\}$ with symmetric difference $\leq 2$
May
24
revised If I know the order of every element in a group, do I know the group?
added 9 characters in body
May
24
awarded  Nice Answer
May
24
answered If I know the order of every element in a group, do I know the group?
May
24
comment Classifying the central product HK of two cyclic groups
That's it, yes!
May
24
comment Set theory, intersection of two sets
There are infinitely many primes which are congruent to $1 \pmod{8}$, see en.wikipedia.org/wiki/… So what exactly is it required from you?
May
24
comment Is it possible to develop function that returns the number (rank, position) of a particular permutation.
$b_{7} b_{6} \dots b_{1} b_{0} \mapsto b_{7} \cdot n^{7} + b_{6} \cdot n^{6} + \dots + b_{0}$ if each $b_{i}$ takes $n$ values
May
24
revised Is it possible to develop function that returns the number (rank, position) of a particular permutation.
added 19 characters in body