About 31,100 results
|strongly Jordan sets are strongly Jordan, it will follow that every one-point subset |
of Q. is Jordan (or is strongly ... Theorem. Let G be a primitive permutation group
on a set Q, and assume that G contains a p-cycle, where p is prime and p < \to\ ...
|For a complete proof see [39, Theorem 8.16] or [43, Section 4.1]. A set Ω as in the |
theorem above is called a Zassenhaus neighborhood. 2. Jordan's theorem Since
connected compact nilpotent groups are abelian, we deduce the following ...
|In this chapter, we shall develop some of the basic results required to investigate |
chains of normal subgroups of a group G. The objective is to prove the Jordan-
Holder Theorem. This will be accomplished in three steps. We first introduce
|An analogue of Jordan's theorem One of the oldest results in group theory is the |
following theorem. Theorem 1.1 (Jordan). There exists an integer valued function
J(n) defined on the set ofpositive integers with the following property. If the finite ...
|To answer them, however, we need combinatorial tools from group theory, and it |
turns out to be easier to develop these ... 0.3 The Jordan Curve Theorem 0.3.1
Connectedness and Separation The statement, as a theorem, that every simple ...
|... control 199 G-isomorphism 9 G-morphism 9 gallery 209 Gaschütz' Theorem 31 |
general linear group 9 general unitary ... inner automorphism group 11 integer p-
part 19 rt-part 71 involution 5 isometry 78 isomorphism 7 Jordan's Theorem 58 ...
|Among the concepts named after him are the Jordan canonical form in matrix |
theory, the Jordan curve theorem from topology, and the Jordan—Holder
Theorem from group theory. The Granger Collection, New York His classic book
Traite' des ...
|but did not give the reference.16 Jordan also showed that G168 was the only |
group which had been omitted of order ... This result, for general 11, is of
independent interest in the study of groups, and is known as Jordan's finiteness
|A group like SLdpZq Ă GLdpCq is finitely generated, and one can check that it |
satisfies the desired condition simply by using ... We first discuss a generalization
of the classical Jordan–Hölder Theorem of group theory, which explains in which