Question

How to show that a $4 \times 4$ strictly upper triangular matrix is nilpotent?

score 2.8k · Answer 1 · 2015-02-12 14:34:46

2.8k

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How to show that a $4 \times 4$ strictly upper triangular matrix is nilpotent?

Published on 12 Feb 2015 - 14:34

score 97 · Answer 2 · 2015-03-10 05:59:04

97

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Nilpotent groups in geometry.

Published on 10 Mar 2015 - 5:59

score 226 · Answer 3 · 2015-03-11 03:26:12

226

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Nilpotent degree $2$ 'families' of $4\times 4$ matrices

Published on 11 Mar 2015 - 3:26

score 1.4k · Answer 4 · 2015-03-11 05:16:35

1.4k

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Using jordan form to find nilpotent $4\times 4$ matrices

Published on 11 Mar 2015 - 5:16

score 44 · Answer 5 · 2015-03-11 12:21:54

44

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Are all matrices composed of squares of smaller matrices of some nilpotency index $k$, nilpotent with index $k$?

Published on 11 Mar 2015 - 12:21

score 232 · Answer 6 · 2015-03-12 20:53:55

232

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Jointly nilpotent matrices

Published on 12 Mar 2015 - 20:53

score 134 · Answer 7 · 2015-03-16 07:36:08

134

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Generalisation of a Theorem of McCoy to rings with bounded index of nilpotency

Published on 16 Mar 2015 - 7:36

score 1.8k · Answer 8 · 2015-03-16 21:02:57

1.8k

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Show that the heisenberg group is nilpotent

Published on 16 Mar 2015 - 21:02

score 10.4k · Answer 9 · 2015-03-22 11:43:52

10.4k

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All nilpotent $2\times 2$ matrices

Published on 22 Mar 2015 - 11:43

score 144 · Answer 10 · 2026-03-25 19:04:03

144

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On Nilpotent Elements of $M_n (F)$

Published on 25 Mar 2026 - 19:04

score 141 · Answer 11 · 2015-03-25 11:48:50

141

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nilpotent right ideals

Published on 25 Mar 2015 - 11:48

score 1.1k · Answer 12 · 2015-04-02 02:42:21

1.1k

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Prove that if H and K are normal nilpotent subgroups of a finite group G, then HK is a normal nilpotent subgroup.

Published on 02 Apr 2015 - 2:42

score 6.2k · Answer 13 · 2015-04-02 08:40:31

6.2k

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An $n\times n$ nilpotent matrix is nilpotent of degree at most $n$

Published on 02 Apr 2015 - 8:40

score 1k · Answer 14 · 2015-04-06 16:32:28

1k

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If $n = p_1^{a_1} \cdots p_r^{a_r}$ the set of nilpotents of $\mathbb{Z}_n$ is $(p_1\cdots p_r)\Bbb Z_n$

Published on 06 Apr 2015 - 16:32

score 232 · Answer 15 · 2015-04-13 11:50:20

232

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If $A $ is a square matrix of size $n$ with complex entries such that $Tr(A^k)=0 , \forall k \ge 1$ , then is it true that $A$ is nilpotent ?

Published on 13 Apr 2015 - 11:50

List Question

How to show that a $4 \times 4$ strictly upper triangular matrix is nilpotent?

Nilpotent groups in geometry.

Nilpotent degree $2$ 'families' of $4\times 4$ matrices

Using jordan form to find nilpotent $4\times 4$ matrices

Are all matrices composed of squares of smaller matrices of some nilpotency index $k$, nilpotent with index $k$?

Jointly nilpotent matrices

Generalisation of a Theorem of McCoy to rings with bounded index of nilpotency

Show that the heisenberg group is nilpotent

All nilpotent $2\times 2$ matrices

On Nilpotent Elements of $M_n (F)$

nilpotent right ideals

Prove that if H and K are normal nilpotent subgroups of a finite group G, then HK is a normal nilpotent subgroup.

An $n\times n$ nilpotent matrix is nilpotent of degree at most $n$

If $n = p_1^{a_1} \cdots p_r^{a_r}$ the set of nilpotents of $\mathbb{Z}_n$ is $(p_1\cdots p_r)\Bbb Z_n$

If $A $ is a square matrix of size $n$ with complex entries such that $Tr(A^k)=0 , \forall k \ge 1$ , then is it true that $A$ is nilpotent ?

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