List questions from finite-groups

Published on 21 Sep 2014 - 11:25

353

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Number of conjugacy classes in a finite non-abelian simple group

Published on 21 Sep 2014 - 12:50

416

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Classification of groups of order $p^2q$

Published on 03 Apr 2026 - 13:33

219

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Elementary abelian $p$-group

Published on 21 Sep 2014 - 13:35

37

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Give a $H\le SL_{2}(\Bbb Z_p)$ such that $|H|=q$

Published on 21 Sep 2014 - 15:11

5.2k

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Group of order $|G|=pqr$, $p,q,r$ primes has a normal subgroup of order

Published on 27 Mar 2026 - 4:38

1.1k

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Prove that $n_p(N)$ divides $n_p(G)$

Published on 26 Mar 2026 - 23:09

621

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How to find orbits and isotropy group?

Published on 21 Sep 2014 - 18:18

95

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Consequence of Lemma: If G is abelian with exponent n, then $|G|\big\vert n^m$ for some $m\in N$

Published on 21 Sep 2014 - 21:34

340

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last part of proof of schur zassenhaus theorem.

Published on 26 Mar 2026 - 12:49

377

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Show that every proper subgroup of this group is finite.

Published on 29 Mar 2026 - 3:02

100

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Find\construct a group of order $q(q-1)$ s.t. .....

Published on 23 Sep 2014 - 11:15

239

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If $G$ is a group of order $48$, show that the intersection of any two distinct Sylow $2$-subgroups has order $8$

Published on 27 Mar 2026 - 4:35

1.8k

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The number, up to isomorphism, of abelian groups of order 40 is

Published on 28 Mar 2026 - 15:36

458

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Cardinal of a group $G$ such that for all $x\in G$ we have $x^2=e$

Published on 23 Sep 2014 - 20:50

List Question

Question about the answer to Kac's problem: 'Can one hear the shape of a drum?'.

Number of conjugacy classes in a finite non-abelian simple group

Classification of groups of order $p^2q$

Elementary abelian $p$-group

Give a $H\le SL_{2}(\Bbb Z_p)$ such that $|H|=q$

Group of order $|G|=pqr$, $p,q,r$ primes has a normal subgroup of order

Prove that $n_p(N)$ divides $n_p(G)$

How to find orbits and isotropy group?

Consequence of Lemma: If G is abelian with exponent n, then $|G|\big\vert n^m$ for some $m\in N$

last part of proof of schur zassenhaus theorem.

Show that every proper subgroup of this group is finite.

Find\construct a group of order $q(q-1)$ s.t. .....

If $G$ is a group of order $48$, show that the intersection of any two distinct Sylow $2$-subgroups has order $8$

The number, up to isomorphism, of abelian groups of order 40 is

Cardinal of a group $G$ such that for all $x\in G$ we have $x^2=e$

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