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Why is the direct product of finitely many nilpotent groups nilpotent?

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#group-theory #normal-subgroups #nilpotent-groups
131
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Examples of nilpotent subgroups of $S_n$ which have less than say 10^9 elements?

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#group-theory #permutations #finite-groups #nilpotent-groups
70
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Proof of a particular piece of Milnor-Wolf theorem

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#group-theory #geometric-group-theory #solvable-groups #nilpotent-groups
20
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Prove the length of LCS and UCS are equal

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#geometric-group-theory #nilpotent-groups
625
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Torsion-free nilpotent Group

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#group-theory #infinite-groups #nilpotent-groups
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Quotient of nilpotent group is nilpotent

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#abstract-algebra #group-theory #proof-verification #nilpotent-groups
4.4k
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Need help proving any subgroup and quotient of a nilpotent group is nilpotent?

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#group-theory #nilpotent-groups
176
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Characterizations of Nilpotent Groups

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#abstract-algebra #group-theory #reference-request #math-history #nilpotent-groups
309
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Nilpotent residual subgroup

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#group-theory #finite-groups #nilpotent-groups
137
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about minimal non-nilpotent groups

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#group-theory #nilpotent-groups
103
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The periodic part of a locally nilpotent group.

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#group-theory #nilpotent-groups
771
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Residually finite nilpotent group

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#group-theory #infinite-groups #nilpotent-groups
220
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On nilpotent factor group

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#group-theory #finite-groups #nilpotent-groups
265
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Prove that in a nilpotent group every normal subgroup of prime order is contained in the center.

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#abstract-algebra #group-theory #normal-subgroups #nilpotent-groups
5.7k
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If $G / Z(G)$ nilpotent then G is nilpotent.

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#abstract-algebra #group-theory #nilpotent-groups

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