List questions from finite-groups

Published on 06 Dec 2014 - 23:07

265

Views

Composition series of nilpotent group

Published on 08 Apr 2026 - 1:31

2k

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Number of non-isomorphic groups of order $p^2$

Published on 07 Dec 2014 - 7:16

865

Views

Galois groups of quintics

Published on 05 Apr 2026 - 23:18

701

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Embedding $S_n$ in $A_{2n}$

Published on 07 Dec 2014 - 20:18

203

Views

Every non-regular minimal normal subgroup of a doubly transitive group is primitive and simple

Published on 08 Dec 2014 - 15:32

301

Views

Does $SL(2, \mathbb F_p)$ always have a subgroup of order $(p-1)(p+1)$?

Published on 31 Mar 2026 - 19:49

243

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Primitive Permutation Group and Centralizers

Published on 08 Dec 2014 - 22:20

645

Views

endomorphism of finite groups

Published on 08 Dec 2014 - 22:26

4.4k

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How many ways can the vertices of an equilateral triangle be colored using three different colors?

Published on 09 Dec 2014 - 1:40

60

Views

Characterize all $\mathbb Z[i]$ modules of order $21$ and $65$

Published on 07 Apr 2026 - 19:32

84

Views

Group theoretical proof of $\varphi(rs)=\varphi(r)\varphi(s)$ through generators of the group.

Published on 27 Mar 2026 - 4:38

39

Views

Find number of all $a \in G $ such that $o(a) =3$

Published on 09 Dec 2014 - 11:07

308

Views

elements of order $3$ in $A_n$

Published on 09 Dec 2014 - 14:35

813

Views

If $\sigma$ is a cycle of length $r$, then it has order $r$?

Published on 09 Dec 2014 - 17:27

List Question

Is $SL(2, 3) $ a subgroup of $SL(2, p)$ for $ p>3$?

Composition series of nilpotent group

Number of non-isomorphic groups of order $p^2$

Galois groups of quintics

Embedding $S_n$ in $A_{2n}$

Every non-regular minimal normal subgroup of a doubly transitive group is primitive and simple

Does $SL(2, \mathbb F_p)$ always have a subgroup of order $(p-1)(p+1)$?

Primitive Permutation Group and Centralizers

endomorphism of finite groups

How many ways can the vertices of an equilateral triangle be colored using three different colors?

Characterize all $\mathbb Z[i]$ modules of order $21$ and $65$

Group theoretical proof of $\varphi(rs)=\varphi(r)\varphi(s)$ through generators of the group.

Find number of all $a \in G $ such that $o(a) =3$

elements of order $3$ in $A_n$

If $\sigma$ is a cycle of length $r$, then it has order $r$?

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