Question

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

score 109 · Answer 1 · 2026-04-22 09:28:26

109

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

Published on 22 Apr 2026 - 9:28

score 1.6k · Answer 2 · 2026-04-22 09:29:25

1.6k

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Why in Quotient Group we need normal subgroup?

Published on 22 Apr 2026 - 9:29

score 44 · Answer 3 · 2026-04-22 09:29:26

44

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Representatives of normal subgroups and intersections

Published on 22 Apr 2026 - 9:29

score 1.1k · Answer 4 · 2026-04-22 09:29:26

1.1k

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Intersection of conjugate subgroups

Published on 22 Apr 2026 - 9:29

score 7.3k · Answer 5 · 2026-04-22 09:29:27

7.3k

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When is $HK$ a subgroup?

Published on 22 Apr 2026 - 9:29

score 552 · Answer 6 · 2026-04-22 09:29:27

552

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

Published on 22 Apr 2026 - 9:29

score 89 · Answer 7 · 2026-04-22 09:29:27

89

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

Published on 22 Apr 2026 - 9:29

score 159 · Answer 8 · 2026-05-07 12:43:27

159

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

Published on 07 May 2026 - 12:43

score 171 · Answer 9 · 2026-04-22 09:29:27

171

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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 22 Apr 2026 - 9:29

score 667 · Answer 10 · 2026-04-22 09:29:26

667

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All Subgroups of $Z_{200}$

Published on 22 Apr 2026 - 9:29

score 58 · Answer 11 · 2026-04-22 09:29:26

58

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

Published on 22 Apr 2026 - 9:29

score 985 · Answer 12 · 2026-04-22 09:29:27

985

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

Published on 22 Apr 2026 - 9:29

score 43 · Answer 13 · 2026-04-22 09:29:26

43

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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 22 Apr 2026 - 9:29

score 594 · Answer 14 · 2026-04-22 09:29:26

594

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

Published on 22 Apr 2026 - 9:29

score 5.9k · Answer 15 · 2026-04-22 09:28:12

5.9k

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

Published on 22 Apr 2026 - 9:28

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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