Mathematical notes of the Academy of Sciences of the USSRKarasev G.A.: On the theory of n-nilpotent groups. Mat. Zamretki 5 , 653–654 (1969)G. A. Karasev. On the theory of n-nilpotent groups. Mat. Zametki 5 (1969), 653-664....
nilpotent Encyclopedia Wikipedia nil·po·tent (nĭl-pōt′nt, nĭl′pōt′nt) n. An algebraic quantity that when raised to a certain power equals zero. [nil+ Latinpotēns, potent-,having power; seepotent.] nil·po′ten·cyn. American Heritage® Dictionary of the English Language, Fifth...
01 国际基础科学大会-Cosmological Relaxation of the Electroweak Scale-Surjeet Rajendran 44:18 国际基础科学大会-Gravity as a double copy of gauge theory-Henrik Johansson 49:21 国际基础科学大会-The next big gravitational wave discovery-Maria Alessandra Papa 58:51 国际基础科学大会-Modelling, Data ...
- 《Integral Equations & Operator Theory》 被引量: 44发表: 1986年 The Steinberg group of a monoid ring, nilpotence, and algorithms For a regular ring R and an affine monoid M the homotheties of M act nilpotently on the Milnor unstable groups of R [ M ]. This strengthens the K 2 ...
Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology ...
According to Derek J.S Robinson's A Course in the Theory of Groups, the Frattini subgroup of a group GG, denoted FratGFratG is defined to be the intersection of all maximal subgroups of GG. When GG has no maximal subgroup, FratGFratG is set to be GG itself. It can be proved that ...
This lecture reviews the history of modern economic thoughts, introduces the traditional decision making model of expected utility theory, and presents the empirical challenges to the traditional standard model. It then elaborates the contributions made by psychology and cognitive science, which promoted ...
Firstly, we could not really refer to any classical result in abelian group theory since the group is not reduced, and classically detaching the divisible part is the first thing one would do. Secondly, the dynamic process of detaching the divisible part is the core of the proof since it ...
Generators for the Bounded Automorphisms of Infinite-Rank Free Nilpotent Groups (eng) It is shown that the natural generalisations of the elementary Nielsen transformations of a free group to the infinite-rank case, furnish generators for the subgroup of u201cboundedu201d automorphisms of any relat...
of transformations, and so on). The generality of the theory of groups, and thus its wide applicability, stems from the fact that the theory studies the properties of operations in their pure form, ignoring the nature of the particular operation as well as the nature of the elements operated...