List questions from finite-groups

Published on 14 Apr 2026 - 10:14

454

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Number of non-abelian Groups of order 196

Published on 16 Apr 2026 - 12:48

110

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The problem 4.A.3 from M.Isaacs FGT about Schur multipliers of quasiquaternion groups

Published on 10 May 2026 - 13:27

746

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Generator of $SL(2,\mathbb{R})$

Published on 11 Apr 2026 - 8:51

69

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Does a finite $SU(2,q^2)$ act transitively on the set of rays?

Published on 10 May 2026 - 15:29

1.6k

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A difficulty in understanding that $A_4$ has no subgroup of order 6.

Published on 10 May 2026 - 15:01

131

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What’s the order of this matrix

Published on 14 Apr 2026 - 17:57

431

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central self-products of quaternion and (8)-dihedral groups $\mathbb{Q_8} \otimes \mathbb{Q_8}^{\text{op}} \cong D_8 \otimes D_8$?

Published on 29 Apr 2026 - 12:26

39

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Determine kernel and cosets of surj. homo

Published on 10 May 2026 - 12:33

1.1k

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Prove that every element of $G$ of order 7 is in $H$.

Published on 15 Apr 2026 - 5:25

118

Views

Order of an element in the quotient group

Published on 17 Apr 2026 - 3:37

471

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Prove that there is at most one non-abelian group of order $28$ all of whose Sylow $2$-subgroups are cyclic

Published on 10 May 2026 - 12:17

48

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The cardinal of some set of cosets is countable

Published on 10 May 2026 - 15:46

215

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How many Injective homomorphims are from $C_n$ to $S_n$?

Published on 10 May 2026 - 15:00

269

Views

Number of solution of exponential equation modulo p (prime)

Published on 10 May 2026 - 14:06

List Question

When does there exist a non-cyclic group of size $pq$?

Number of non-abelian Groups of order 196

The problem 4.A.3 from M.Isaacs FGT about Schur multipliers of quasiquaternion groups

Generator of $SL(2,\mathbb{R})$

Does a finite $SU(2,q^2)$ act transitively on the set of rays?

A difficulty in understanding that $A_4$ has no subgroup of order 6.

What’s the order of this matrix

central self-products of quaternion and (8)-dihedral groups $\mathbb{Q_8} \otimes \mathbb{Q_8}^{\text{op}} \cong D_8 \otimes D_8$?

Determine kernel and cosets of surj. homo

Prove that every element of $G$ of order 7 is in $H$.

Order of an element in the quotient group

Prove that there is at most one non-abelian group of order $28$ all of whose Sylow $2$-subgroups are cyclic

The cardinal of some set of cosets is countable

How many Injective homomorphims are from $C_n$ to $S_n$?

Number of solution of exponential equation modulo p (prime)

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