 About 31,100 results  books.google.com strongly Jordan sets are strongly Jordan, it will follow that every onepoint 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 pcycle, where p is prime and p < \to\ ... 

 books.google.com 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 ... 

 books.google.com 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
some ... 

 books.google.com 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 ... 

 books.google.com 
 books.google.com 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 ... 

 books.google.com ... control 199 Gisomorphism 9 Gmorphism 9 gallery 209 Gaschütz' Theorem 31
general linear group 9 general unitary ... inner automorphism group 11 integer p
part 19 rtpart 71 involution 5 isometry 78 isomorphism 7 Jordan's Theorem 58 ... 

 books.google.com 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 ... 

 books.google.com 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
theorem. 

 books.google.com 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
... 

 