List questions from finite-groups

Published on 04 May 2014 - 19:21

248

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How to find group homomorphisms from one group to another

Published on 28 Mar 2026 - 3:34

259

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Prove $G$ is abelian if $f(f(x)) = x$?

Published on 28 Mar 2026 - 5:22

180

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If $G$ has more than one nontrivial elements with order 2, how to show that $\prod^n_{x=1}a_x=1$?

Published on 28 Mar 2026 - 3:33

703

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A question about the involution in simple groups.

Published on 25 Mar 2026 - 8:05

421

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Question about a non-abelian group of order $p^2q$

Published on 26 Mar 2026 - 21:26

53

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How many homomorphisms exist from $|G|=70\to |H|=91$?

Published on 07 May 2014 - 16:26

77

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Group Action on $S_n$

Published on 07 May 2014 - 18:05

1.6k

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What do Sylow 2-subgroups of finite simple groups look like?

Published on 31 Mar 2026 - 13:54

2.5k

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Show that : $\sum\limits_{\sigma \in S_n} (\mbox{number of fixed points of } \sigma)^2= 2 n!$

Published on 07 May 2014 - 22:01

271

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On the existence of non-abelian finite groups

Published on 08 May 2014 - 23:42

207

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On the number of Hall subgroups of a group

Published on 09 May 2014 - 4:18

3k

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A group of order less than $60$

Published on 25 Mar 2026 - 11:01

282

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largest permutation group of odd order

Published on 27 Mar 2026 - 13:46

284

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Generator of cyclic groups $Z_{pq} $

Published on 09 May 2014 - 8:15

List Question

Quotient group of a direct product: $\left(G_1\times G_2\right)/\left(G_1\times \{e_2\}\right)$

How to find group homomorphisms from one group to another

Prove $G$ is abelian if $f(f(x)) = x$?

If $G$ has more than one nontrivial elements with order 2, how to show that $\prod^n_{x=1}a_x=1$?

A question about the involution in simple groups.

Question about a non-abelian group of order $p^2q$

How many homomorphisms exist from $|G|=70\to |H|=91$?

Group Action on $S_n$

What do Sylow 2-subgroups of finite simple groups look like?

Show that : $\sum\limits_{\sigma \in S_n} (\mbox{number of fixed points of } \sigma)^2= 2 n!$

On the existence of non-abelian finite groups

On the number of Hall subgroups of a group

A group of order less than $60$

largest permutation group of odd order

Generator of cyclic groups $Z_{pq} $

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