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15
62
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A doubt in the proof of 6.4.6 of Kurzweil and Stellmacher

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#abstract-algebra #group-theory #finite-groups #proof-explanation #solvable-groups
74
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Doubt in proof of Herstein Theorem (Solvable Groups)

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#abstract-algebra #group-theory #induction #solvable-groups
139
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When a solvable group is supersolvable?

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#group-theory #solvable-groups
199
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A solvable group is characteristically simple if and only if is abelian elementary

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#abstract-algebra #group-theory #finite-groups #solvable-groups
32
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Profinite group with $2$-generated closed prosoluble subgroups

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#group-theory #solvable-groups #profinite-groups
68
Views

Why $\mathscr{D}^k\mathfrak{g}$ is an ideal in $\mathfrak{g}$?

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#representation-theory #lie-groups #lie-algebras #ideals #solvable-groups
55
Views

What is the quotient group $G/R(G)$?

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#abstract-algebra #group-theory #quotient-group #simple-groups #solvable-groups
38
Views

Problem (12.4) in Isaacs Character theory of finite groups

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#group-theory #quotient-group #solvable-groups
70
Views

Solvable normal subgroup but the corresponding quotient group is not solvable

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#abstract-algebra #group-theory #normal-subgroups #quotient-group #solvable-groups
90
Views

Doubt in Lang's proof of solvable extensions forming a distinguished class of extensions

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#field-theory #galois-theory #extension-field #galois-extensions #solvable-groups
84
Views

Reference or idea of a proof (on A-groups)

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#abstract-algebra #group-theory #finite-groups #sylow-theory #solvable-groups
53
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Effective degree bound for solvability by radicals

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#polynomials #galois-theory #nested-radicals #galois-extensions #solvable-groups
95
Views

Every ordinal is the derived length of a group

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#group-theory #elementary-set-theory #solvable-groups
165
Views

Group of order $630$ is solvable

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#group-theory #finite-groups #sylow-theory #solvable-groups
58
Views

Fitting length of Dihedral groups

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#group-theory #dihedral-groups #solvable-groups #nilpotent-groups

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