词汇 | nilpotent |
释义 | BETA Examples of nilpotentnilpotent isn’t in the Cambridge Dictionary yet. You can help! From previous growth dichotomy discussion, such 'product-phenomenon' may not be expected in nilpotent groups. Multiple recurrence theorem for measure preserving actions of a nilpotent group. Several examples are presented: lips, graphics with two subsequent lips, graphics with a nilpotent point of elliptic type and a saddle-node. Here is an example of a primitive action of a nilpotent group. Generic 3-parameter families of vector field on the plane, unfolding a singularity with nilpotent linear part. This seems to be inaccessible for general finitely-generated, torsion-free, nilpotent groups. The degree of polynomial growth of finitely generated nilpotent groups. The former part will be p-adically nilpotent, and the null space will be its row space. A countable, torsion-free, nilpotent group admits a left-invariant order relation. Assume that the real analytic differential system (2) has a nilpotent center at the origin. Any subgroup and any factor group of a nilpotent group are nilpotent. In the semisimple and nilpotent case, we can additionally show that this quotient is algebraic. Similarly, the kernel of the action of the outer automorphism group of a free group is finitely generated and residually torsion-free nilpotent. Further, the system cannot be converted into a chained form, and neither is it nilpotent nor differentially flat. In this work, we approach the above class of problems by considering the case of finitely-generated nilpotent groups. The following proposition provides for the existence of the desired pair of non-nilpotent matrices. |
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