Spelling suggestions: "subject:"finita"" "subject:"finitas""
1 |
Minimal Non-fc-groups And Coprime Automorphisms Of Quasi-simple GroupErsoy, Kivanc 01 September 2004 (has links) (PDF)
A group G is called an FC-group if the conjugacy class of every
element is finite. G is called a minimal non-FC-group if G is
not an FC-group, but every proper subgroup of G is an FC-group.
The first part of this thesis is on minimal non-FC-groups and
their finitary permutational representations. Belyaev proved in
1998 that, every perfect locally finite minimal non-FC-group has
non-trivial finitary permutational representation. In Chapter 3,
we write the proof of Belyaev in detail.
Recall that a group G is called quasi-simple if G is perfect
and G/Z(G) is simple. The second part of this thesis is on
finite quasi-simple groups and their coprime automorphisms. In
Chapter 4, the result of Parker and Quick is written in detail:
Namely / if Q is a quasi-simple group and A is a non-trivial
group of coprime automorphisms of Q satisfying |Q: C_{Q}(A)| < / n then |Q| < / n3,
that is |Q| is bounded by a function of n.
|
2 |
Matroids on Complete Boolean AlgebrasHiggs, Denis Arthur 10 1900 (has links)
The approach to a theory of non-finitary matroids, as outlined by the author in [20], is here extended to the case in which the relevant closure operators are defined on arbitrary complete Boolean algebras, rather than on the power sets of sets. As a preliminary to this study, the theory of derivatives of operators on complete Boolean algebras is developed and the notion, having interest in its own right, of an analytic closure operator is introduced . The class of B-matroidal closure operators is singled out for especial attention and it is proved that this class is closed under Whitney duality. Also investigated is the class of those closure operators which are both matroidal and topological. / Thesis / Doctor of Philosophy (PhD)
|
Page generated in 0.0312 seconds