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15
271
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When does a formula for the roots of a polynomial exist?

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#abstract-algebra #polynomials #galois-theory #solvable-groups
158
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Is "being solvable" a geometric property for linear algebraic groups?

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#group-theory #algebraic-geometry #algebraic-groups #solvable-groups
199
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Assumption in Proof that Every $p$-Group is Solvable

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#abstract-algebra #proof-explanation #p-groups #solvable-groups
33
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Group Theory: Solvable groups and commutators

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#group-theory #abelian-groups #normal-subgroups #solvable-groups
303
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If maximal subgroups of solvable group have equal cores, then they are conjugates

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#abstract-algebra #group-theory #finite-groups #solvable-groups
185
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Is the join of two solvable subgroups solvable?

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#abstract-algebra #group-theory #solvable-groups
1k
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Different Definitions for Solvable Groups

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#abstract-algebra #group-theory #definition #solvable-groups
150
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Commutator subgroup is strictly smaller if the center is nontrivial

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#group-theory #p-groups #solvable-groups
183
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If G is a solvable group whose partially ordered set of subgroups satisfies both the ascending and descending chain conditions, then G is finite.

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#abstract-algebra #finite-groups #order-theory #solvable-groups
332
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Normalizer of a solvable maximal subgroup

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#abstract-algebra #group-theory #solvable-groups #maximal-subgroup
111
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Feit-Thompson implies nonexistence of simple groups of odd composite order?

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#group-theory #finite-groups #solvable-groups
106
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Complement for a minimal normal subgroup in a solvable group

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#group-theory #solvable-groups
94
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Normal Subgroups of Solvable Groups with elementary abelian Sylow 2 subgroup

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#group-theory #reference-request #normal-subgroups #sylow-theory #solvable-groups
54
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The composition length equals the sum of the exponents on all prime divisors in a prime factorization.

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#abstract-algebra #group-theory #solvable-groups
145
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On solvable equations and a good book about Galois Theory

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#abstract-algebra #galois-theory #radicals #book-recommendation #solvable-groups

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