List questions from group-extensions

Published on 23 Apr 2026 - 14:11

393

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Algebraic Extensions of Z_7 with polynomials?

Published on 25 Mar 2026 - 16:01

61

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Show that the group in the center of this short exact sequence is abelian

Published on 25 Mar 2026 - 16:03

313

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Properties of group extensions

Published on 30 Apr 2026 - 15:03

50

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What does extend a group by a map mean?

Published on 15 Apr 2026 - 14:31

199

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Equivalent conditions for an exact sequence of groups being split

Published on 17 Apr 2026 - 9:48

160

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Describe all extension groups of a given subgroup $H \trianglelefteq \mathrm{Heis}(\mathbb F_q)$ by $\mathrm{Heis}(\mathbb F_q)/H$

Published on 15 Apr 2026 - 23:53

147

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Commutative diagram of semidirect products

Published on 11 Apr 2026 - 20:49

81

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How to classify the extensions of $A_4$ by $Z / 2Z$?

Published on 10 Apr 2026 - 7:37

34

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When does a morphism $f:X \to C$ from a group extension $X \twoheadrightarrow G$ factor through $G$?

Published on 13 Apr 2026 - 10:02

27

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Are fixed points of complements have same size?

Published on 12 Apr 2026 - 11:50

98

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Isomorphic Group Extensions

Published on 11 May 2026 - 0:05

173

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Are extensions quasi-isometric

Published on 11 Apr 2026 - 5:27

129

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Meaning of $\phi_h$ in outer semidirect product

Published on 13 Apr 2026 - 15:26

493

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Residually finite extension of a finite group

Published on 15 Apr 2026 - 12:54

List Question

Finite index subgroups of group extensions such that the quotient map is injective

Algebraic Extensions of Z_7 with polynomials?

Show that the group in the center of this short exact sequence is abelian

Properties of group extensions

What does extend a group by a map mean?

Equivalent conditions for an exact sequence of groups being split

Describe all extension groups of a given subgroup $H \trianglelefteq \mathrm{Heis}(\mathbb F_q)$ by $\mathrm{Heis}(\mathbb F_q)/H$

Commutative diagram of semidirect products

How to classify the extensions of $A_4$ by $Z / 2Z$?

When does a morphism $f:X \to C$ from a group extension $X \twoheadrightarrow G$ factor through $G$?

Are fixed points of complements have same size?

Isomorphic Group Extensions

Are extensions quasi-isometric

Meaning of $\phi_h$ in outer semidirect product

Residually finite extension of a finite group

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