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dharmatech
  • Member for 12 years, 4 months
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11 votes
2 answers
1k views

How is GAP generating all subgroups?

9 votes
3 answers
672 views

Computer Algebra Systems which implement Cylindrical Algebraic Decomposition

4 votes
1 answer
2k views

Let $a$ and $b$ commute. If $m$ and $n$ are relatively prime, then ord($ab$) = $mn$. [duplicate]

3 votes
1 answer
208 views

Prove: $\text{ord}(a^m) = \frac{\text{lcm}(m,n)}{m}$ [duplicate]

3 votes
2 answers
265 views

Let $ord(a) = n$. Let $k$ be an integer such that every prime factor of $k$ is a factor of $n$. Prove: If $a = b^k$ then $ord(b) = nk$.

2 votes
2 answers
105 views

$a \in G$. $b \in G$. $\operatorname{ord}(a) = 12$. If $a = b^3$. Prove $\operatorname{ord}(b) = 36$

2 votes
4 answers
419 views

Solving Pinter 7.B.4 with a program

2 votes
1 answer
90 views

Groups generated by elements - enumerating elements

1 vote
1 answer
437 views

Prove: If $|G| = p^2$, then $G$ must be abelian.

1 vote
2 answers
793 views

Order of a^k is a divisor of the order of a

1 vote
3 answers
591 views

If ${\rm ord}(a) = n$ where $n$ is odd, then ${\rm ord}(a^2) = n$.

1 vote
1 answer
286 views

Pinter 10.E.5: Let $a$ and $b$ commute. Prove: There is an element $c$ in $G$ whose order is $lcm(m,n)$.