Question

Frobenius group and conjugacy relation

score 303 · Answer 1 · 2026-03-22 13:06:32

303

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Frobenius group and conjugacy relation

Published on 22 Mar 2026 - 13:06

score 1.2k · Answer 2 · 2026-03-25 01:16:32

1.2k

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Group of order 42 has normal subgroup

Published on 25 Mar 2026 - 1:16

score 184 · Answer 3 · 2018-04-22 15:32:07

184

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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 22 Apr 2018 - 15:32

score 34 · Answer 4 · 2018-04-22 19:10:22

34

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When is the 'right coset' a subgroup

Published on 22 Apr 2018 - 19:10

score 95 · Answer 5 · 2018-04-23 15:40:13

95

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

Published on 23 Apr 2018 - 15:40

score 119 · Answer 6 · 2018-04-23 16:55:41

119

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Order element of a quotient group

Published on 23 Apr 2018 - 16:55

score 1.3k · Answer 7 · 2026-03-25 12:50:17

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 25 Mar 2026 - 12:50

score 124 · Answer 8 · 2026-03-25 06:12:48

124

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

Published on 25 Mar 2026 - 6:12

score 126 · Answer 9 · 2026-03-20 09:11:32

126

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

Published on 20 Mar 2026 - 9:11

score 838 · Answer 10 · 2026-03-25 06:12:45

838

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Between the center of a quotient group and the total center

Published on 25 Mar 2026 - 6:12

score 178 · Answer 11 · 2018-04-30 16:58:55

178

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

Published on 30 Apr 2018 - 16:58

score 55 · Answer 12 · 2018-04-30 17:38:20

55

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

Published on 30 Apr 2018 - 17:38

score 616 · Answer 13 · 2018-05-01 15:01:30

616

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Topics of Algebra Herstein Chapter 2.7 problem 18,19

Published on 01 May 2018 - 15:01

score 3.8k · Answer 14 · 2026-03-06 14:13:41

3.8k

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

Published on 06 Mar 2026 - 14:13

score 126 · Answer 15 · 2026-03-25 11:06:56

126

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

Published on 25 Mar 2026 - 11:06

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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