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Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 34 for “"Automorphism groups"”.
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Centralizers in automorphism groups
… we investigate centralizers in several automorphism groups of homogenous structures. In the rst chapter, we discuss the centralizer question in ergodic theory, an open question that has served as motivation for much of the work in this dissertation. We also introduce the content of each …
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Combinatorial designs and their automorphism groups
This thesis concerns the automorphism groups of Steiner triple systems and of cycle systems. Although most Steiner triple systems have trivial automorphism groups [2], it is widely known that for every abstract group, there exists a Steiner triple system whose automorphism is isomorphic to that …
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Automorphism Groups of Quadratic Modules and Manifolds
… homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, we do not assume the modules and quadratic modules to be well-behaved in any sense: for …
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Matrix Representations of Automorphism Groups of Free Groups
… we study the representation theory of the automorphism group Aut (Fn) of a free group by studying the representation theory of three finite subgroups: two symmetric groups, Sn and Sn+1, and a Coxeter group of type Bn, also known as a hyperoctahedral group. The representation theory of these …
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Automorphism Groups of the Augmented Distance Graphs of Trees
… variants of graphs by forming matrices and groups relating to the graph. One example of this is the distance matrices, $\Gamma\sb{\rm i}$, and their associated groups.
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The Occurrence of Certain Types of Groups as Automorphism Groups
… between the structure of a group and that of its automorphism group. We examine the characteristics of groups G whose automorphism group Aut G has specified properties. If H = Aut G for some group G, we call H an automorphism group. We will see that there are many classes of groups which are not …
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The Classification of Automorphism Groups of Rational Elliptic Surfaces With Section
… we give a classification of (regular) automorphism groups of relatively minimal rational elliptic surfaces with section over the field ℂ which have non-constant J-maps. The automorphism group Aut(B) of such a surface B is the semi-direct product of its Mordell-Weil group MW(B) and the …
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Automorphism Groups and Quotients of Strongly Connected Automata and Monadic Algebras
Made available in DSpace on 2014-12-09T22:17:29Z (GMT). No. of bitstreams: 1 6612289.pdf: 2156947 bytes, checksum: 7ec255a282e65238287517c49612b88c (MD5) Previous issue date: 1966
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Topological Dynamics of Automorphism Groups of omega-homogeneous Structures via Near Ultrafilters
… Pestov and Todorčević about a connection between groups of automorphisms of structures and structural Ramsey theory from countable to uncountable structures. This allows us to provide new examples of explicit descriptions of universal minimal flows as well as of extremely amenable groups. We …
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The Word Problem for the Automorphism Groups of Right-Angled Artin Groups is in P
<p>We provide an algorithm which takes any given automorphism <em>f</em> of any given right-angled Artin group <em>G</em> and determines whether or not <em>f</em> is the identity automorphism, thereby solving the word problem for the automorphism groups of right-angled Artin groups. We do this by …
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Fraisse Theory for Metric Structures
… of a theorem of H. D. Macpherson about the automorphism groups of o-categorical structures.
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Combinatorial models for surface and free group symmetries
… allow combinatorial representation of the automorphisms of a free group. We consider a Birman exact sequence for combinatorial models of mapping class groups and free group automorphisms. We apply this and other extension techniques to compute the automorphism groups of several simplicial …
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cdh descent for homotopy Hermitian K-Theory of rings with involution
… a geometric model for the classifying space of automorphism groups of Hermitian vector bundles over a ring with involution with 2 invertible; this generalizes a result of Schlichting-Tripathi. We then prove a periodicity theorem for Hermitian K-theory and use it to construct an E-infinity …
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Automorphisms of free products of groups
The symmetric automorphism group of a free product is a group rich in algebraic structure and with strong links to geometric configuration spaces. In this thesis I describe in detail and for the first time the (co)homology of the symmetric automorphism groups. To this end I construct a classifying …
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Maps and localizations in the category of Segal spaces
… remembers only the homotopy category plus the automorphism groups of objects.
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Groups, Graphs, and Symmetry-Breaking
… a graph G is said to be r-distinguishing if no automorphism of G preserves all of the vertex labels. The smallest such number r for which there is an r-distinguishing labeling on G is called the distinguishing number of G. The distinguishing set of a group Gamma, D(Gamma), is the set of …
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Progenitors Related to Simple Groups
… methods of finding new presentations of finite groups, particularly nonabelian simple groups. We have presented several progenitors such as 2^{*8}:Z_4 wr Z_2, 3^{*3}:_m L(2,7), 2^{*4}:[2:2^2], 2^{*11}:D_{11} and many more on which we've found the mathieu group M12 and 2*[M21:2^2] among their …
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Algebraic exponentiation and internal homology in general categories
… general categories, whose familiar examples are automorphism groups of groups and derivation algebras of Lie algebras. We prove that such objects exist in categories of generalized Lie algebras defined with respect to an internal commutative monoid in symmetric monoidal closed abelian category. …
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An Introduction to S(5,8,24)
… designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable way. This thesis discusses the underlying structure of S(5,8,24), its construction via the (24,12) Golay code, as well its automorphism group, which is the Mathieu group M24, a member of the sporadic …
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The Schurian association schemes associated with parabolic subgroups of Coxeter groups
… where double coset algebras of string Coxeter groups with respect to maximal parabolic subgroups have the involutive double coset property. For infinite affine string Coxeter groups, this property was only known to occur in the case of the vertex stabilizer for the types ˜C2 and ˜G 2, our new …
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