List questions from sylow-theory

Published on 18 Dec 2014 - 17:24

30

Views

$|\{ x\in X: g.x=x \space\space\space \forall g\in G \}| = |X|\space mod \space p$

Published on 25 Mar 2026 - 19:04

544

Views

Two problems in Group theorem related to Sylow's theorem(maybe)

Published on 21 Dec 2014 - 13:12

726

Views

Problems about generators for Sylow p-subgroups

Published on 21 Dec 2014 - 19:50

95

Views

Prime numbers $p$ and $q$ and possession of normal subgroup of order $p$

Published on 21 Dec 2014 - 22:23

12.5k

Views

Group of order 30 can't be simple

Published on 21 Dec 2014 - 22:32

324

Views

$G$ contains at least $r(p-1)$ elements of order $p$

Published on 25 Dec 2014 - 3:10

266

Views

Number of $p$-local subgroups of a group

Published on 25 Dec 2014 - 16:04

358

Views

$P$ is normal complement in $G$ if and only if $H$ has normal subgroup $Q$ which $H=P\times Q$.

Published on 26 Dec 2014 - 8:36

173

Views

Prove Sylow's 1st theorem

Published on 26 Dec 2014 - 16:22

276

Views

Subnormal $p$-Subgroup, Layer, Fitting & Radical Subgroups

Published on 26 Dec 2014 - 23:57

415

Views

John Beachy's Sylow Problem & Solution

Published on 28 Dec 2014 - 4:29

69

Views

A p-Sylow subgroup of a subgroup is a p-sylow subgroup of the group

Published on 02 Jan 2015 - 11:39

412

Views

If a group has one p-sylow subgroups, then this subgroup must be normal.

Published on 02 Jan 2015 - 12:38

949

Views

Find all the $p$-Sylow subgroups of $D_6$.

Published on 26 Mar 2026 - 10:59

List Question

Groups of Order 12 aren't Simple

$|\{ x\in X: g.x=x \space\space\space \forall g\in G \}| = |X|\space mod \space p$

Two problems in Group theorem related to Sylow's theorem(maybe)

Problems about generators for Sylow p-subgroups

Prime numbers $p$ and $q$ and possession of normal subgroup of order $p$

Group of order 30 can't be simple

$G$ contains at least $r(p-1)$ elements of order $p$

Number of $p$-local subgroups of a group

$P$ is normal complement in $G$ if and only if $H$ has normal subgroup $Q$ which $H=P\times Q$.

Prove Sylow's 1st theorem

Subnormal $p$-Subgroup, Layer, Fitting & Radical Subgroups

John Beachy's Sylow Problem & Solution

A p-Sylow subgroup of a subgroup is a p-sylow subgroup of the group

If a group has one p-sylow subgroups, then this subgroup must be normal.

Find all the $p$-Sylow subgroups of $D_6$.

Trending Questions

Popular # Hahtags

Popular Questions