List questions from sylow-theory

Published on 07 Oct 2014 - 2:01

3.1k

Views

Prove that a non-abelian group of order $pq$ ($p<q$) has a nonnormal subgroup of index $q$

Published on 07 Oct 2014 - 23:38

1.5k

Views

Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$

Published on 22 Oct 2014 - 4:39

456

Views

Group of order 36

Published on 22 Oct 2014 - 16:47

400

Views

Group with $p+1$ Sylow $p$-subgroups

Published on 23 Oct 2014 - 19:40

755

Views

When do Sylow $p$ and Sylow $q$ subgroups commute?

Published on 23 Oct 2014 - 22:58

1k

Views

Groups of order $p(p+1)$

Published on 24 Oct 2014 - 0:39

48

Views

Question about Sylow subgroups

Published on 28 Oct 2014 - 21:27

67

Views

$2$-groups with odd permutations

Published on 26 Mar 2026 - 21:59

49

Views

Is it true that $n_p!\le |G|$?

Published on 30 Oct 2014 - 0:09

1.3k

Views

Finding Sylow p-subgroups

Published on 30 Oct 2014 - 0:18

298

Views

Simple group with Klein four Sylow

Published on 25 Mar 2026 - 11:12

1.3k

Views

Group of order $18$ contains exactly one subgroup of order $9$

Published on 30 Oct 2014 - 11:25

52

Views

Density of Sylow subgroups

Published on 30 Oct 2014 - 18:53

72

Views

Semidirect Product Definition of Addition

Published on 25 Mar 2026 - 15:51

List Question

Sylow's Theorem Explanation

Prove that a non-abelian group of order $pq$ ($p<q$) has a nonnormal subgroup of index $q$

Normalizer and centralizer are equivalent when $p$ is the smallest prime dividing $|G|$

Group of order 36

Group with $p+1$ Sylow $p$-subgroups

When do Sylow $p$ and Sylow $q$ subgroups commute?

Groups of order $p(p+1)$

Question about Sylow subgroups

$2$-groups with odd permutations

Is it true that $n_p!\le |G|$?

Finding Sylow p-subgroups

Simple group with Klein four Sylow

Group of order $18$ contains exactly one subgroup of order $9$

Density of Sylow subgroups

Semidirect Product Definition of Addition

Trending Questions

Popular # Hahtags

Popular Questions