List questions from maximal-subgroup

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Characterizing maximal subgroups of cyclic groups.

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Any non-trivial finitely-generated group admits maximal subgroups

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120

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Generalization of a property of finite nilpotent groups

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A group is divisible if and only if it has no maximal subgroup ?

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200

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Index of subgroups in infinite p-group

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Under what assumptions will $M \unlhd G$? ($M$ maximal)

Published on 07 May 2026 - 16:51

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Normalizer of a solvable maximal subgroup

Published on 27 Apr 2026 - 18:41

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Maximal subgroup of $S_n$

Published on 06 Apr 2026 - 4:34

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Showing that $\left\langle x - J_\lambda x, x^* - Ax_\lambda \right\rangle \leq \|x^*\|\|x-x_\lambda\| - \lambda^{-1}\|x-x_\lambda\|^2$

Published on 25 Mar 2026 - 2:57

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The Frattini subgroup of $\Bbb{Z}_p \times\Bbb Z _{p^2}.$

Published on 25 Mar 2026 - 3:03

706

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Uniqueness of maximal subgroup and order being a power of a prime

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158

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Number of maximal subgroups in finitely generated amenable groups

Published on 09 Apr 2026 - 8:25

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Let X := {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43} be ordered by divisibility. Find the maximal and minimal elements of X.

Published on 25 Mar 2026 - 4:43

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Let $p$ be a prime number and let $G$ be a finite $p\text{-group}$. Let $M$ be a maximal subgroup of $G$.

Published on 25 Mar 2026 - 3:03

List Question

Reduction of structure group to its maximal compact subgroup

Characterizing maximal subgroups of cyclic groups.

Any non-trivial finitely-generated group admits maximal subgroups

Generalization of a property of finite nilpotent groups

A group is divisible if and only if it has no maximal subgroup ?

Index of subgroups in infinite p-group

Under what assumptions will $M \unlhd G$? ($M$ maximal)

Normalizer of a solvable maximal subgroup

Maximal subgroup of $S_n$

Showing that $\left\langle x - J_\lambda x, x^* - Ax_\lambda \right\rangle \leq \|x^*\|\|x-x_\lambda\| - \lambda^{-1}\|x-x_\lambda\|^2$

The Frattini subgroup of $\Bbb{Z}_p \times\Bbb Z _{p^2}.$

Uniqueness of maximal subgroup and order being a power of a prime

Number of maximal subgroups in finitely generated amenable groups

Let X := {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43} be ordered by divisibility. Find the maximal and minimal elements of X.

Let $p$ be a prime number and let $G$ be a finite $p\text{-group}$. Let $M$ be a maximal subgroup of $G$.

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