List questions from finite-groups

Published on 10 Apr 2026 - 20:37

281

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Do two finite groups of the same order have composition series of the same length?

Published on 11 Apr 2026 - 22:17

357

Views

Proof of the first Sylow theorem in the Artin's textbook

Published on 17 Apr 2026 - 14:31

80

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Subgroup of index $n$ induces subgroup of size $n$.

Published on 15 Apr 2026 - 21:56

59

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composition series length and prime divisors of a number

Published on 13 Apr 2026 - 7:25

39

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A question about normal sets in a finite subgroup

Published on 15 Apr 2026 - 5:54

206

Views

How many different beads can be manufactured with 3 colors?

Published on 14 Apr 2026 - 2:57

204

Views

Conjugate subgroups of finite simple groups

Published on 16 Apr 2026 - 15:16

152

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Write the $p$-sylow subgroup as a quotient of the group.

Published on 16 Apr 2026 - 4:06

120

Views

Group Multiplication Table $G$

Published on 16 Apr 2026 - 5:58

53

Views

Show that $L(HK) = L(H) + L(K) - L(H\cap K) $ where L is the length of the composition series of the group and H and K are normal subgroups of G.

Published on 14 Apr 2026 - 1:53

61

Views

Help with the calculus of an index in a finite abelian group theorem.

Published on 16 Apr 2026 - 10:19

660

Views

Product of two subsets of a group

Published on 11 Apr 2026 - 19:06

1.6k

Views

Prove that a finite group of complex numbers are the $n$th roots of unity

Published on 13 Apr 2026 - 4:11

301

Views

Size of two conjugate subgroups of a finite group

Published on 17 Apr 2026 - 10:02

List Question

Generators of quotient group

Do two finite groups of the same order have composition series of the same length?

Proof of the first Sylow theorem in the Artin's textbook

Subgroup of index $n$ induces subgroup of size $n$.

composition series length and prime divisors of a number

A question about normal sets in a finite subgroup

How many different beads can be manufactured with 3 colors?

Conjugate subgroups of finite simple groups

Write the $p$-sylow subgroup as a quotient of the group.

Group Multiplication Table $G$

Show that $L(HK) = L(H) + L(K) - L(H\cap K) $ where L is the length of the composition series of the group and H and K are normal subgroups of G.

Help with the calculus of an index in a finite abelian group theorem.

Product of two subsets of a group

Prove that a finite group of complex numbers are the $n$th roots of unity

Size of two conjugate subgroups of a finite group

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