Question

What exactly is the only Sylow $3$-Subgroup of $D_3$?

score 53 · Answer 1 · 2026-03-26 16:09:52

53

Views

What exactly is the only Sylow $3$-Subgroup of $D_3$?

Published on 26 Mar 2026 - 16:09

score 371 · Answer 2 · 2020-03-28 02:15:19

371

Views

Prove that if $H$ and $K$ are Sylow $p$-subgroups, then $H=K$.

Published on 28 Mar 2020 - 2:15

score 96 · Answer 3 · 2026-03-25 20:52:47

96

Views

Subgroup generated by Sylow $q$-groups of a finite group

Published on 25 Mar 2026 - 20:52

score 202 · Answer 4 · 2026-03-25 20:52:49

202

Views

Quotient of quotient groups and Sylow $p$-subgroups

Published on 25 Mar 2026 - 20:52

score 32 · Answer 5 · 2020-04-01 17:12:27

32

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Intersection of Sylow subgroups is reduced to $\{e\}$

Published on 01 Apr 2020 - 17:12

score 38 · Answer 6 · 2020-04-02 05:28:20

Let $G$ and $H$ be finite groups and let $p$ be a positive prime number that divides the order of $G$ and that divides the order of $H.$

score 108 · Answer 7 · 2026-03-25 20:53:30

108

Views

Cardinality of direct product of Sylow $p$-subgroups

Published on 25 Mar 2026 - 20:53

score 70 · Answer 8 · 2020-04-03 07:41:15

70

Views

Question about Sylow-subgroups

Published on 03 Apr 2020 - 7:41

score 929 · Answer 9 · 2020-04-04 16:16:41

929

Views

What are the possibilities for the number of elements of order $5$ in a group of order $100$?

Published on 04 Apr 2020 - 16:16

score 367 · Answer 10 · 2020-04-05 15:00:17

367

Views

Show that a group of order 12 cannot have nine elements of order 2.

Published on 05 Apr 2020 - 15:00

score 82 · Answer 11 · 2026-03-25 22:26:36

82

Views

Proving $P$ is a Sylow $p$-group of $PN$

Published on 25 Mar 2026 - 22:26

score 307 · Answer 12 · 2026-03-25 06:08:20

307

Views

Frattini sugroup and normal subgroup

Published on 25 Mar 2026 - 6:08

score 107 · Answer 13 · 2020-04-08 19:41:58

107

Views

Showing the injectivity of the following homomorphism (direct product of normal Sylow subgroups)

Published on 08 Apr 2020 - 19:41

score 80 · Answer 14 · 2020-04-09 09:52:04

80

Views

What should be the mental process for quickly evaluating representative Sylow subgroups of $A_5$?

Published on 09 Apr 2020 - 9:52

score 88 · Answer 15 · 2020-04-09 14:28:49

88

Views

Is there an elegant method to show the alternating group $A_5$ as disjoint union of its Sylow subgroups and the trivial element?

Published on 09 Apr 2020 - 14:28

List Question

What exactly is the only Sylow $3$-Subgroup of $D_3$?

Prove that if $H$ and $K$ are Sylow $p$-subgroups, then $H=K$.

Subgroup generated by Sylow $q$-groups of a finite group

Quotient of quotient groups and Sylow $p$-subgroups

Intersection of Sylow subgroups is reduced to $\{e\}$

Let $G$ and $H$ be finite groups and let $p$ be a positive prime number that divides the order of $G$ and that divides the order of $H.$

Cardinality of direct product of Sylow $p$-subgroups

Question about Sylow-subgroups

What are the possibilities for the number of elements of order $5$ in a group of order $100$?

Show that a group of order 12 cannot have nine elements of order 2.

Proving $P$ is a Sylow $p$-group of $PN$

Frattini sugroup and normal subgroup

Showing the injectivity of the following homomorphism (direct product of normal Sylow subgroups)

What should be the mental process for quickly evaluating representative Sylow subgroups of $A_5$?

Is there an elegant method to show the alternating group $A_5$ as disjoint union of its Sylow subgroups and the trivial element?

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