Question

The problem 4.A.3 from M.Isaacs FGT about Schur multipliers of quasiquaternion groups

score 105 · Answer 1 · 2026-03-25 07:46:07

105

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The problem 4.A.3 from M.Isaacs FGT about Schur multipliers of quasiquaternion groups

Published on 25 Mar 2026 - 7:46

score 1.6k · Answer 2 · 2026-03-25 04:37:54

1.6k

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Why in Quotient Group we need normal subgroup?

Published on 25 Mar 2026 - 4:37

score 39 · Answer 3 · 2026-03-25 04:35:23

39

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Representatives of normal subgroups and intersections

Published on 25 Mar 2026 - 4:35

score 1.1k · Answer 4 · 2026-03-22 07:42:37

1.1k

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Intersection of conjugate subgroups

Published on 22 Mar 2026 - 7:42

score 7.3k · Answer 5 · 2026-03-21 22:43:40

7.3k

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When is $HK$ a subgroup?

Published on 21 Mar 2026 - 22:43

score 546 · Answer 6 · 2026-03-25 09:31:59

546

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How do you show $\mathbb{Z}_{3}$ is a proper normal subgroup of $S_{3}$?

Published on 25 Mar 2026 - 9:31

score 84 · Answer 7 · 2018-02-24 02:25:31

84

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Any product of two transpositions is in a normal subgroup $H$ of $S_n$.

Published on 24 Feb 2018 - 2:25

score 151 · Answer 8 · 2026-03-20 03:19:20

151

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Does the existence of infinite number of Leinster groups indicate the existence of infinite number of perfect numbers?

Published on 20 Mar 2026 - 3:19

score 167 · Answer 9 · 2026-03-25 06:13:01

167

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If $H \trianglelefteq G$ and $H \subseteq G' \leq G$ then $(G' \trianglelefteq G) \Leftrightarrow (G'/H \trianglelefteq G/H)$

Published on 25 Mar 2026 - 6:13

score 661 · Answer 10 · 2026-03-21 23:25:03

661

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All Subgroups of $Z_{200}$

Published on 21 Mar 2026 - 23:25

score 52 · Answer 11 · 2018-03-04 20:17:21

52

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Excercise 4.B.4 from M.Isaacs Finite Group Theory book. Commutators identity

Published on 04 Mar 2018 - 20:17

score 981 · Answer 12 · 2026-03-24 23:46:00

981

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Sylow p-subgroup is normal if and only if it is a characteristic subgroup

Published on 24 Mar 2026 - 23:46

score 38 · Answer 13 · 2018-03-08 03:11:35

38

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Proof verification: If $H_{1}\unlhd G$ and $H_{2}\unlhd G$, then $H_{1}\cap H_{2}\unlhd G$.

Published on 08 Mar 2018 - 3:11

score 589 · Answer 14 · 2018-03-08 03:16:28

589

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Proving that K is the unique subgroup of G having order |K|

Published on 08 Mar 2018 - 3:16

score 5.9k · Answer 15 · 2026-03-25 03:04:04

5.9k

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Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

Published on 25 Mar 2026 - 3:04

List Question

The problem 4.A.3 from M.Isaacs FGT about Schur multipliers of quasiquaternion groups

Why in Quotient Group we need normal subgroup?

Representatives of normal subgroups and intersections

Intersection of conjugate subgroups

When is $HK$ a subgroup?

How do you show $\mathbb{Z}_{3}$ is a proper normal subgroup of $S_{3}$?

Any product of two transpositions is in a normal subgroup $H$ of $S_n$.

Does the existence of infinite number of Leinster groups indicate the existence of infinite number of perfect numbers?

If $H \trianglelefteq G$ and $H \subseteq G' \leq G$ then $(G' \trianglelefteq G) \Leftrightarrow (G'/H \trianglelefteq G/H)$

All Subgroups of $Z_{200}$

Excercise 4.B.4 from M.Isaacs Finite Group Theory book. Commutators identity

Sylow p-subgroup is normal if and only if it is a characteristic subgroup

Proof verification: If $H_{1}\unlhd G$ and $H_{2}\unlhd G$, then $H_{1}\cap H_{2}\unlhd G$.

Proving that K is the unique subgroup of G having order |K|

Proof verification: If group $G$ is abelian, then quotient group $G/H$ is abelian.

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