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Fitting subgroups of infinite groups

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#group-theory #infinite-groups #nilpotent-groups
81
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A group of order 2295 is nilpotent.

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#abstract-algebra #group-theory #nilpotent-groups
255
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Why isn't $Z_2 \times S_3$ nilpotent?

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#abstract-algebra #group-theory #nilpotent-groups
435
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If a group has a normal subgroup of order $d$ for every divisor $d$ of the order of the group then it is nilpotent

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#abstract-algebra #group-theory #finite-groups #sylow-theory #nilpotent-groups
96
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Does there exist some sort of classification of subvarieties of $\mathfrak{N}_2$?

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#abstract-algebra #group-theory #universal-algebra #nilpotent-groups
1.1k
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Ascending central series for dihedral group $D_4$ of order 8

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#abstract-algebra #group-theory #dihedral-groups #nilpotent-groups
670
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Do finitely generated nilpotent groups contain torsion free subgroups of finite index?

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#group-theory #geometric-group-theory #nilpotent-groups
77
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nilpotent uniform pro-$p$ groups of dimension 2

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#group-theory #reference-request #profinite-groups #nilpotent-groups #pro-p-groups
63
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order of trace character distribution of irreducible unitary representations of nilpotent groups.

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#representation-theory #distribution-theory #nilpotent-groups
100
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Centralisers in nilpotent Lie algebras

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#linear-algebra #lie-algebras #nilpotent-groups
100
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A finite product of nilpotent groups is nilpotent

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#abstract-algebra #group-theory #normal-subgroups #nilpotent-groups
34
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Series of nilpotent group and one of its subgroups

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#abstract-algebra #group-theory #normal-subgroups #nilpotent-groups
77
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Schur Zassenhaus theorem for nilpotent groups

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#group-theory #finite-groups #nilpotent-groups
500
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A $p$-group of exponent $p$

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#abstract-algebra #group-theory #finite-groups #abelian-groups #nilpotent-groups
89
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About non-normal nilpotent subgroups

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#group-theory #finite-groups #nilpotent-groups

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