List questions from sylow-theory

Published on 08 Jan 2017 - 5:29

62

Views

Show that if $a^{-1}Pa=P$ with $P$ a Sylow $p$-subgroup and $a$ of order $p^m$ then $a\in P$

Published on 10 Jan 2017 - 8:02

9.7k

Views

Show that a group of order $108$ has a normal subgroup of order $9$ or $27$.

Published on 10 Jan 2017 - 8:15

125

Views

G is not simple.

Published on 26 Mar 2026 - 11:16

279

Views

$|G|=pq$, where $p$ and $q$ are primes, is the semidirect product of subgroups of orders $p$ and $q$

Published on 26 Mar 2026 - 3:13

517

Views

How much can we figure out from the Sylow Theorems

Published on 19 Jan 2017 - 10:16

1k

Views

"Every Group of order $216$ contains a normal subgroup of order $27$ or $9$

Published on 24 Jan 2017 - 6:37

3.3k

Views

$G$ is abelian iff all the Sylow subgroups of $G$ are normal

Published on 26 Jan 2017 - 11:27

68

Views

Proving $G$ is Abelian?

Published on 26 Jan 2017 - 12:13

1.8k

Views

prove that every Sylow p-subgroup of $S_n$ is abelian if and only if $n<p^2$

Published on 27 Jan 2017 - 17:09

3.6k

Views

Every group of order $56$ has a proper non - trivial normal subgroup?

Published on 28 Jan 2017 - 9:44

124

Views

Fusion in finite groups

Published on 29 Jan 2017 - 17:07

30

Views

Sylow subgroups and their intersections.

Published on 04 Feb 2017 - 14:16

1.1k

Views

normalizer of two p-Sylow intersection

Published on 10 Feb 2017 - 17:37

134

Views

Is a group of order 2017 simple?

Published on 26 Mar 2026 - 14:42

List Question

Prove that the normalizer of the subgroup is the subgroup is itself

Show that if $a^{-1}Pa=P$ with $P$ a Sylow $p$-subgroup and $a$ of order $p^m$ then $a\in P$

Show that a group of order $108$ has a normal subgroup of order $9$ or $27$.

G is not simple.

$|G|=pq$, where $p$ and $q$ are primes, is the semidirect product of subgroups of orders $p$ and $q$

How much can we figure out from the Sylow Theorems

"Every Group of order $216$ contains a normal subgroup of order $27$ or $9$

$G$ is abelian iff all the Sylow subgroups of $G$ are normal

Proving $G$ is Abelian?

prove that every Sylow p-subgroup of $S_n$ is abelian if and only if $n<p^2$

Every group of order $56$ has a proper non - trivial normal subgroup?

Fusion in finite groups

Sylow subgroups and their intersections.

normalizer of two p-Sylow intersection

Is a group of order 2017 simple?

Trending Questions

Popular # Hahtags

Popular Questions