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Self normalizing maximal subgroup of a non solvable group

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#group-theory #solvable-groups #maximal-subgroup
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$G$ be a group such that every maximal subgroup is of finite index and any two maximal subgroups are conjugate

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#group-theory #infinite-groups #maximal-subgroup
90
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Generalization of product theorem in group theory.

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#abstract-algebra #group-theory #maximal-subgroup
214
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In a finite p-group,H is a maximal sub group iff H is normal in G and |G:H|=p

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#group-theory #finite-groups #group-actions #maximal-subgroup
245
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example of a group which has no proper subgroup of finite index, but it does have maximal subgroups.

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#group-theory #maximal-subgroup
300
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When is the commutator subgroup a maximal subgroup?

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#group-theory #maximal-subgroup
813
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Why $\mathbb{T}^1$ is maximal in $SU(2)$

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#lie-groups #maximal-subgroup
449
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Does a maximal subgroup have to contain the center?

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#group-theory #maximal-subgroup
58
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Embedding property of subgroups: Strongly Pronormal

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#group-theory #normal-subgroups #maximal-subgroup
361
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Intersection between two conjugates of a maximal subgroup.

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#group-theory #finite-groups #maximal-subgroup
320
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Index of a maximal subgroup in a solvable group

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#abstract-algebra #finite-groups #solvable-groups #maximal-subgroup
205
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Conjugacy classes in maximal subgroups

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#abstract-algebra #group-theory #finite-groups #maximal-subgroup
2.1k
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every maximal subgroup of a finite solvable group has prime power index.

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#group-theory #finite-groups #solvable-groups #maximal-subgroup
89
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Subgroup maximal in its normalizer

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#abstract-algebra #group-theory #finite-groups #sylow-theory #maximal-subgroup
1.8k
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Find the maximal subgroups of $Z/nZ$

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#maximal-subgroup

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