List questions from finite-groups

Published on 30 Mar 2026 - 13:53

213

Views

A difficult exercise about the first isomorphism theorem of a group

Published on 30 Mar 2026 - 18:20

103

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Subgroups of a group disjoint from a given subgroup

Published on 30 Mar 2026 - 20:52

231

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Symmetric group with elements of prime order

Published on 01 May 2019 - 18:22

60

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trivial modules of group rings

Published on 01 Apr 2026 - 16:05

83

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additive order of any zero divisor in $Z_{p^2}$ is p, is it true?

Published on 27 Mar 2026 - 1:46

97

Views

Proof of Cauchy's Theorem for abelian groups (Herstein)

Published on 03 May 2019 - 13:04

639

Views

Character of induced representation: explicit formula

Published on 03 May 2019 - 13:04

251

Views

Conjugacy of Singer cyclic groups in $\mathrm{P\Gamma L}$

Published on 25 Mar 2026 - 3:02

67

Views

Number of equivalence classes of a proper subgroup

Published on 03 May 2019 - 16:09

267

Views

Orders of the Elements of $D_6/Z(D_6)$

Published on 25 Mar 2026 - 19:05

175

Views

Nilpotency class of Frattini subgroup and group order

Published on 25 Mar 2026 - 3:01

462

Views

A finite group is isomorphic to the direct product of two normal subsets with trivial intersection

Published on 04 May 2019 - 9:35

164

Views

O(G)=36 and o(H) =4 then H = Z(G)?

Published on 04 May 2019 - 13:48

289

Views

Every group of order $440$ is solvable

Published on 04 May 2019 - 15:24

List Question

Harmonic polynomials invariant under the action of a group

A difficult exercise about the first isomorphism theorem of a group

Subgroups of a group disjoint from a given subgroup

Symmetric group with elements of prime order

trivial modules of group rings

additive order of any zero divisor in $Z_{p^2}$ is p, is it true?

Proof of Cauchy's Theorem for abelian groups (Herstein)

Character of induced representation: explicit formula

Conjugacy of Singer cyclic groups in $\mathrm{P\Gamma L}$

Number of equivalence classes of a proper subgroup

Orders of the Elements of $D_6/Z(D_6)$

Nilpotency class of Frattini subgroup and group order

A finite group is isomorphic to the direct product of two normal subsets with trivial intersection

O(G)=36 and o(H) =4 then H = Z(G)?

Every group of order $440$ is solvable

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