Examples of 'is nilpotent' in a sentence
Meaning of "is nilpotent"
is nilpotent - a mathematical term indicating that a certain operation or element yields zero when raised to a certain power
How to use "is nilpotent" in a sentence
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is nilpotent
The commutator subgroup of a supersolvable group is nilpotent.
A finitely generated group is nilpotent if and only if each of its subgroups is subnormal.
The direct product of two nilpotent groups is nilpotent.
Suppose is nilpotent.
It has a normal subgroup of finite index that is nilpotent.
If f is nilpotent.
A central series exists if and only if the group is nilpotent.
In mathematics, a Lie algebra is nilpotent if its lower central series eventually becomes zero.
A strictly triangular matrix is nilpotent.
A finite-dimensional Lie algebra L is nilpotent if and only if every element of L is ad-nilpotent.
Generates a subring that is nilpotent.
This is the case when M is nilpotent but not 0 ( eigenvalues all 0 ).
It is straightforward to check that the group Un is nilpotent.
A Heisenberg algebra is nilpotent.
More generally, any triangular matrix with 0s along the main diagonal is nilpotent.
See also
As noted above, every abelian group is nilpotent.
As a result, every unipotent group scheme is nilpotent.
In a right artinian ring, any nil ideal is nilpotent.
A group has Fitting length 1 if and only if it is nilpotent.
Nil ideal, An ideal is a nil ideal if each of its elements is nilpotent.
Then every nil one-sided ideal of R is nilpotent.
As a corollary, every finite p-group is nilpotent.
An operator x is unipotent if x - 1 is nilpotent.
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Examples of using Nilpotent
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Every finitely generated nilpotent group is supersolvable
A nilpotent matrix is a special case of a convergent matrix
The commutator subgroup of a supersolvable group is nilpotent
