Question

Frobenius group and conjugacy relation

score 304 · Answer 1 · 2026-04-09 08:04:45

304

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Frobenius group and conjugacy relation

Published on 09 Apr 2026 - 8:04

score 1.2k · Answer 2 · 2026-05-10 14:35:00

1.2k

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Group of order 42 has normal subgroup

Published on 10 May 2026 - 14:35

score 187 · Answer 3 · 2026-04-17 11:03:22

187

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Let $|G| = p^n$ where $p$ is prime. Show that the number of non-normal subgroups of $G$ is $pm$.

Published on 17 Apr 2026 - 11:03

score 38 · Answer 4 · 2026-04-14 03:14:19

38

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When is the 'right coset' a subgroup

Published on 14 Apr 2026 - 3:14

score 98 · Answer 5 · 2026-04-18 22:51:16

98

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$G'$ is the smallest normal subgroup of $G=\langle K\rangle$ that contains $[K,K]$.

Published on 18 Apr 2026 - 22:51

score 123 · Answer 6 · 2026-04-13 15:40:35

123

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Order element of a quotient group

Published on 13 Apr 2026 - 15:40

score 1.3k · Answer 7 · 2026-04-16 17:20:45

1.3k

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$f \colon G_1 \to G_2$ group homomorphism, then $G_1 / N_1 \cong G_2 / N_2$

Published on 16 Apr 2026 - 17:20

score 127 · Answer 8 · 2026-05-10 13:50:03

127

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About the group structure of the quotient $G/H$, where $H$ is a normal subgroup.

Published on 10 May 2026 - 13:50

score 133 · Answer 9 · 2026-04-29 12:52:30

133

Views

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Published on 29 Apr 2026 - 12:52

score 840 · Answer 10 · 2026-04-14 22:29:58

840

Views

Between the center of a quotient group and the total center

Published on 14 Apr 2026 - 22:29

score 181 · Answer 11 · 2026-04-13 17:00:55

181

Views

Is normal subgroup of any group can be find by intersection of conjugation of Some subgroup by elements of group

Published on 13 Apr 2026 - 17:00

score 58 · Answer 12 · 2026-04-16 09:19:39

58

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Cosets of subgroup of linear maps from $\mathbb{R}$ to itself

Published on 16 Apr 2026 - 9:19

score 619 · Answer 13 · 2026-04-13 21:30:07

619

Views

Topics of Algebra Herstein Chapter 2.7 problem 18,19

Published on 13 Apr 2026 - 21:30

score 3.8k · Answer 14 · 2026-05-07 03:05:02

3.8k

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Commutator Group of $\operatorname{GL}_2(\mathbb{R})$ is $\operatorname{SL}_2(\mathbb{R})$

Published on 07 May 2026 - 3:05

score 128 · Answer 15 · 2026-04-10 06:31:07

128

Views

How to use automorphism of Group to define automorphism of its factor group?

Published on 10 Apr 2026 - 6:31

List Question

Frobenius group and conjugacy relation

Group of order 42 has normal subgroup

Let $|G| = p^n$ where $p$ is prime. Show that the number of non-normal subgroups of $G$ is $pm$.

When is the 'right coset' a subgroup

$G'$ is the smallest normal subgroup of $G=\langle K\rangle$ that contains $[K,K]$.

Order element of a quotient group

$f \colon G_1 \to G_2$ group homomorphism, then $G_1 / N_1 \cong G_2 / N_2$

About the group structure of the quotient $G/H$, where $H$ is a normal subgroup.

Show that the dihedral group $D_{16}$ is the internal direct product of its Sylow subgroups.

Between the center of a quotient group and the total center

Is normal subgroup of any group can be find by intersection of conjugation of Some subgroup by elements of group

Cosets of subgroup of linear maps from $\mathbb{R}$ to itself

Topics of Algebra Herstein Chapter 2.7 problem 18,19

Commutator Group of $\operatorname{GL}_2(\mathbb{R})$ is $\operatorname{SL}_2(\mathbb{R})$

How to use automorphism of Group to define automorphism of its factor group?

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