Mathematics
Meta user
Network profile
2,495
reputation
2
9
24

Bach

The quaternion group is a non-abelian group of order eight: ${\displaystyle \mathrm {Q} _{8}=\langle {\bar {e}},i,j,k\mid {\bar {e}}^{2}=e,\;i^{2}=j^{2}=k^{2}=ijk={\bar {e}}\rangle ,}$ where $e$ is the identity element and ${\bar {e}}$ commutes with the other elements of the group.

65
answers
113
questions
~12k
people reached
  • Member for 1 year, 8 months
  • 331 profile views
  • Last seen 30 mins ago

Communities (20)

Top Meta Posts
0
1

Top network posts

We respect a laser-like focus on one topic.

Top tags (110)

Score 40
Posts 53
Posts % 30
Score 14
Posts 17
Score 11
Posts 38
Score 7
Posts 19
Score 6
Posts 17
Score 4
Posts 29
View all tags →

Top posts (178) All Questions Answers | Votes Newest

8 Suppose $ \alpha, \beta>0 $. Compute: $ \int_{0}^{\infty}\frac{\cos (\alpha x)-\cos (\beta x)}{x}dx $ Oct 22 '18
6 Suppose that $G$ is a group of order $924=2^2\cdot3\cdot7\cdot 11$. Prove that $G$ has an element of order $77$. May 31
6 Evaluate $\sum_{k=0}^n {{2n + 1}\choose {2k + 1}}$ Mar 28
5 Calculate the integral $ \int_{0}^{1}\int_{-\sqrt{1-x^2}}^{\sqrt{1-x^2}} (x^2+x^2y^3)\, dy dx .$ Sep 25 '18
5 Suppose $ H\leqslant G $, prove that if $ (H, G')=\langle e \rangle $, then $ (H', G)=\langle e \rangle $. Sep 29 '18
4 $ af'(\xi)+bf'(\eta)=0 $ for some $ 0<\xi<\eta<1 $ Mar 24
4 Find the maximal value for $ \left| \int_{0}^{1}(f(x))^2-f(x)dx \right| .$ Sep 23 '18
4 Ask for example: A simple ring with zero divisors Jan 10
4 $\phi (n) = n \prod (1-1/p)$ Apr 19 '18
4 Finding all the ideals of $\mathbb{Z} [x]/(2, (x^3+1))$? Apr 20 '18
View all questions and answers →

Badges (35)

Gold

2

Rarest

Silver

9

Rarest

Bronze

24

Rarest

View all badges →