List questions from finite-groups

Published on 28 Mar 2026 - 14:06

84

Views

Group Theory, Permutations.

Published on 26 Apr 2014 - 13:53

601

Views

Cayley's Theorem - Questions on Proof Blueprint [Fraleigh p. 82 theorem 8.16]

Published on 26 Apr 2014 - 19:16

54

Views

$|G':G''| \le p^2$ implies $G'$ is abelian

Published on 27 Apr 2014 - 8:12

130

Views

On the Hall Theorem

Published on 25 Mar 2026 - 9:32

634

Views

definition of simple group , why we need normal ???

Published on 28 Apr 2014 - 1:53

1.6k

Views

Example of not so simple group ??

Published on 28 Apr 2014 - 2:55

1.3k

Views

Symmetry Group Regular Tetrahedron

Published on 28 Apr 2014 - 13:54

162

Views

Boosting of Coset diagrams

Published on 25 Mar 2026 - 3:20

100

Views

Uniqueness FTOFAG

Published on 28 Mar 2026 - 2:09

9.5k

Views

Proving that ${\rm Aut}(S_3)$ is isomorphic to $S_3$

Published on 27 Mar 2026 - 10:44

115

Views

Upper bound of the order of a group generated by 2 elements with certain relations

Published on 28 Apr 2014 - 20:41

584

Views

Sylow $7$-subgroup of a group of order $4\cdot3\cdot5\cdot7$ is normal

Published on 26 Mar 2026 - 14:34

213

Views

Why is $U(12) = U_{4} (12) ~ U_3(12)?$

Published on 28 Mar 2026 - 2:03

3.3k

Views

How to find presentation of a group using GAP?

Published on 25 Mar 2026 - 3:22

List Question

if $f$ is of prime order, then can the orbit of $s$ under $f$ have one element?

Group Theory, Permutations.

Cayley's Theorem - Questions on Proof Blueprint [Fraleigh p. 82 theorem 8.16]

$|G':G''| \le p^2$ implies $G'$ is abelian

On the Hall Theorem

definition of simple group , why we need normal ???

Example of not so simple group ??

Symmetry Group Regular Tetrahedron

Boosting of Coset diagrams

Uniqueness FTOFAG

Proving that ${\rm Aut}(S_3)$ is isomorphic to $S_3$

Upper bound of the order of a group generated by 2 elements with certain relations

Sylow $7$-subgroup of a group of order $4\cdot3\cdot5\cdot7$ is normal

Why is $U(12) = U_{4} (12) ~ U_3(12)?$

How to find presentation of a group using GAP?

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