List questions from sylow-theory

Published on 20 Mar 2026 - 20:12

932

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classify groups of order $p^2$ simple or not

Published on 17 Mar 2026 - 10:41

930

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Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Published on 17 Mar 2026 - 18:02

303

Views

Calculating the index of a subgroup containing the normalizer of a Sylow $p$ subgroup

Published on 17 Mar 2026 - 19:13

334

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If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

Published on 17 Mar 2026 - 15:06

6k

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Classify all groups of order 75

Published on 17 Mar 2026 - 11:08

634

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Group of order 616 solvable?

Published on 17 Mar 2026 - 4:47

431

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Could we get any information from about class equation from index of sylow subgroups

Published on 17 Mar 2026 - 11:34

551

Views

Second part of Sylow's Theorem about conjugacy

Published on 17 Mar 2026 - 12:35

540

Views

If $G$ is non-abelian and simple then $|G|$ divides $n_p!/2$

Published on 17 Mar 2026 - 19:25

67

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On a special type of finite abelian groups of prime power order

Published on 20 Mar 2026 - 3:36

2.4k

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Group of order $60$ with more than one Sylow-$5$ subgroup is simple

Published on 21 Mar 2026 - 10:44

465

Views

Prove that there is at most one non-abelian group of order $28$ all of whose Sylow $2$-subgroups are cyclic

Published on 21 Mar 2026 - 5:16

96

Views

Understanding connection between number of non isomorphic Abelian groups and Sylow theorem

Published on 22 Mar 2026 - 11:48

33

Views

Does a transversal of a Sylow-2 subgroup provide an involution cover?

Published on 21 Mar 2026 - 6:54

List Question

A group of order 189 is not simple

classify groups of order $p^2$ simple or not

Proof verification - the only group of order 24 without normal sylow subgroup is $S_4$.

Calculating the index of a subgroup containing the normalizer of a Sylow $p$ subgroup

If $|G| = p^nq$ then $G$ has only one normal subgroup of order $q$

Classify all groups of order 75

Group of order 616 solvable?

Could we get any information from about class equation from index of sylow subgroups

Second part of Sylow's Theorem about conjugacy

If $G$ is non-abelian and simple then $|G|$ divides $n_p!/2$

On a special type of finite abelian groups of prime power order

Group of order $60$ with more than one Sylow-$5$ subgroup is simple

Prove that there is at most one non-abelian group of order $28$ all of whose Sylow $2$-subgroups are cyclic

Understanding connection between number of non isomorphic Abelian groups and Sylow theorem

Does a transversal of a Sylow-2 subgroup provide an involution cover?

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