Question

Is every finite group an arithmetic group?

score 82 · Answer 1 · 2017-09-18 18:03:52

82

Views

Is every finite group an arithmetic group?

Published on 18 Sep 2017 - 18:03

score 153 · Answer 2 · 2017-09-20 00:06:23

153

Views

Finding groups from presentations

Published on 20 Sep 2017 - 0:06

score 91 · Answer 3 · 2017-10-01 03:38:14

91

Views

Computing the order of a particular group from its presentation

Published on 01 Oct 2017 - 3:38

score 1.4k · Answer 4 · 2017-10-05 14:03:49

1.4k

Views

Presentation of the group of Quaternions

Published on 05 Oct 2017 - 14:03

score 103 · Answer 5 · 2017-10-13 04:51:46

103

Views

Show that the class of the word $aba$ in group $\langle{a,b\,\vert\,a^{2}b^{2} }\rangle$ is not the trivial element.

Published on 13 Oct 2017 - 4:51

score 128 · Answer 6 · 2017-10-13 05:22:09

128

Views

Prove that $\langle{a,b\,\vert\,aba^{-1}b^{2}}\rangle$ is not isomorphic to $\mathbb{Z}/3\mathbb{Z}$.

Published on 13 Oct 2017 - 5:22

score 69 · Answer 7 · 2017-10-13 17:21:59

69

Views

Show that $\langle{x,y\,\vert\,x^{2}y^{-2}}\rangle$ is not isomorphic to $S_{3}$

Published on 13 Oct 2017 - 17:21

score 78 · Answer 8 · 2017-10-17 09:58:26

78

Views

Showing that a subgroup of $GL(2,\mathbb{C})$ is defined by a certain presentation

Published on 17 Oct 2017 - 9:58

score 99 · Answer 9 · 2017-10-23 15:31:48

99

Views

Proving a cyclically presented group is infinite using GAP.

Published on 23 Oct 2017 - 15:31

score 54 · Answer 10 · 2017-11-01 14:18:28

54

Views

Identifying $\langle x_1, x_2, x_3, x_4\mid x_1x_2=x_3, x_2x_1=x_3, x_1x_2=x_4, x_2x_1=x_4\rangle$.

Published on 01 Nov 2017 - 14:18

score 67 · Answer 11 · 2017-11-02 10:46:31

67

Views

Identifying $\langle x_1, x_2, x_3, x_4\mid x_1x_2=x_3, x_3x_2=x_1, x_1x_4=x_3, x_3x_4=x_1\rangle$.

Published on 02 Nov 2017 - 10:46

score 76 · Answer 12 · 2017-11-06 12:07:42

76

Views

Identifying $\langle x_1, \dots, x_6\mid x_1x_2=x_3, x_2x_3=x_1, x_3x_1=x_2, x_4x_5=x_6, x_5x_6=x_4, x_6x_4=x_5\rangle.$

Published on 06 Nov 2017 - 12:07

score 242 · Answer 13 · 2017-11-07 13:13:53

242

Views

Identifying $\langle x_e, x_a, x_b, x_{ab}\mid x_ex_a=x_{ab}, x_ax_e=x_b, x_bx_{ab}=x_a, x_{ab}x_b=x_e\rangle.$

Published on 07 Nov 2017 - 13:13

score 84 · Answer 14 · 2017-11-13 14:03:16

84

Views

Is there a quicker way to do this in GAP?

Published on 13 Nov 2017 - 14:03

score 213 · Answer 15 · 2017-11-15 06:58:39

213

Views

Index of a subgroup with GAP

Published on 15 Nov 2017 - 6:58

List Question

Is every finite group an arithmetic group?

Finding groups from presentations

Computing the order of a particular group from its presentation

Presentation of the group of Quaternions

Show that the class of the word $aba$ in group $\langle{a,b\,\vert\,a^{2}b^{2} }\rangle$ is not the trivial element.

Prove that $\langle{a,b\,\vert\,aba^{-1}b^{2}}\rangle$ is not isomorphic to $\mathbb{Z}/3\mathbb{Z}$.

Show that $\langle{x,y\,\vert\,x^{2}y^{-2}}\rangle$ is not isomorphic to $S_{3}$

Showing that a subgroup of $GL(2,\mathbb{C})$ is defined by a certain presentation

Proving a cyclically presented group is infinite using GAP.

Identifying $\langle x_1, x_2, x_3, x_4\mid x_1x_2=x_3, x_2x_1=x_3, x_1x_2=x_4, x_2x_1=x_4\rangle$.

Identifying $\langle x_1, x_2, x_3, x_4\mid x_1x_2=x_3, x_3x_2=x_1, x_1x_4=x_3, x_3x_4=x_1\rangle$.

Identifying $\langle x_1, \dots, x_6\mid x_1x_2=x_3, x_2x_3=x_1, x_3x_1=x_2, x_4x_5=x_6, x_5x_6=x_4, x_6x_4=x_5\rangle.$

Identifying $\langle x_e, x_a, x_b, x_{ab}\mid x_ex_a=x_{ab}, x_ax_e=x_b, x_bx_{ab}=x_a, x_{ab}x_b=x_e\rangle.$

Is there a quicker way to do this in GAP?

Index of a subgroup with GAP

Trending Questions

Popular # Hahtags

Popular Questions