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Showing 1 to 20 of 90 for “"automorphism"”.

  1. Centralizers in automorphism groups

    Hill, AaronUniversity of Illinois at Urbana-Champaign2011

    … 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 …

    uiuc Repository record

  2. Combinatorial designs and their automorphism groups

    Lovegrove, Graham JohnThe Open University2009

    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 …

    the-open-u Repository record

  3. Automorphism Groups of Quadratic Modules and Manifolds

    Friedrich, NinaUniversity of Cambridge2018

    In this thesis we prove 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 …

    cambridge Repository record

  4. The Quantum Automorphism Group and Undirected Trees

    Fulton, Melanie B.Virginia Tech2006

    A classification of all undirected trees with automorphism group isomorphic to $(Z_2)^l$ is given in terms of a vertex partition called a refined star partition. Recently the notion of a quantum automorphism group has been defined by T. Banica and J. Bichon. The quantum automorphism group is …

    vt Repository record

  5. Matrix Representations of Automorphism Groups of Free Groups

    Andrus, Ivan B.2005

    … 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 …

    byu Repository record

  6. Automorphism Groups of the Augmented Distance Graphs of Trees

    Sportsman, Joseph ScottUniversity of Illinois at Urbana-Champaign2014

    In algebraic graph theory one studies algebraic 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.

    uiuc Repository record

  7. The automorphism tower of a group with trivial center

    Kandall, Geoffrey Allan.Massachusetts Institute of Technology1960

    Thesis: M.S., Massachusetts Institute of Technology, Department of Mathematics, 1960

    mit Repository record

  8. The Occurrence of Certain Types of Groups as Automorphism Groups

    Zimmerman, Jay JamesUniversity of Illinois at Urbana-Champaign2014

    … 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 …

    uiuc Repository record

  9. The Klein Group as a Fixed Point Free Automorphism Group

    Bauman, Steven FredrickUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-05T21:50:22Z (GMT). No. of bitstreams: 1 6206102.pdf: 2288360 bytes, checksum: 67910c23cf2ef98e6ddcbc6d6d6b2332 (MD5) Previous issue date: 1962

    uiuc Repository record

  10. The Classification of Automorphism Groups of Rational Elliptic Surfaces With Section

    Karayayla, Tolga2011

    … 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 …

    penn Repository record

  11. Automorphism Groups and Quotients of Strongly Connected Automata and Monadic Algebras

    Bayer, RudolfUniversity of Illinois at Urbana-Champaign2014

    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

    uiuc Repository record

  12. Topological Dynamics of Automorphism Groups of omega-homogeneous Structures via Near Ultrafilters

    Bartosova, Dana2014

    … 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 identify new …

    toronto-retro Repository record

  13. A Decomposition of the Automorphism Group of an Autonomous Linear Sequential Machine

    Schneider, Ross NelsonUniversity of Illinois at Urbana-Champaign2014

    Made available in DSpace on 2014-12-09T22:17:55Z (GMT). No. of bitstreams: 1 7013472.pdf: 1424672 bytes, checksum: b1aabe671cca24a8754c5f4d00289bf3 (MD5) Previous issue date: 1969

    uiuc Repository record

  14. The Word Problem for the Automorphism Groups of Right-Angled Artin Groups is in P

    Whittle, Carrie Anne2017

    <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 …

    arkansas Repository record

  15. Modest Automorphisms of Presburger Arithmetic

    Heller, SimonThe Graduate School and University Center of The City University of New York2019

    … whether a structure can be expanded by an automorphism so that one obtains a nice description of the expanded structure's first-order properties. In this dissertation, we study some such expansions of models of Presburger arithmetic. Building on some of the work of Harnik (1986) and …

    cuny-grad Repository record

  16. Exploring the multiplicative structure of Z/nZ

    Atalaye, JosephStellenbosch : Stellenbosch University2026

    … actions, semidirect products, endomorphisms, and automorphisms associated with such monoids. Considering the set of homomorphisms of prime power multiplicative modular monoids, with the law operator of the codomain, we identify its algebraic structure as a monoid. We also determine the algebraic …

    stellenbosch Repository record

  17. A study of super-KMS functionals

    Stoytchev, Orlin TsankovVirginia Polytechnic Institute and State University1989

    … functional ω there is a canonically defined *-automorphism group (the analog of the modular group) and a canonical ℤ₂ grading of the algebra, commuting with the automorphism group. The functional ω is weakly super-KMS with respect to them. Furthermore, the canonical automorphism group and ℤ₂ …

    vt Repository record

  18. Blocks and virtually irreducible lattices

    Ellers, Harald Erich HerbertUniversity of Illinois at Urbana-Champaign2011

    … block of SH with defect group D. If every automorphism of D which preserves conjugacy classes is an inner automorphism, then there is a virtually irreducible SH-lattice in b with vertex D such that U$\sp{\rm G}$ = V $\oplus$ W with V virtually irreducible and U $\not\vert$ W$\sb{\rm H}$.

    uiuc Repository record

  19. Automorphisms of free products of groups

    Griffin, James ThomasUniversity of Cambridge2013

    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 …

    cambridge Repository record

  20. Model Theory of Valued Difference Fields

    Azgin, SalihUniversity of Illinois at Urbana-Champaign2015

    … is, valued fields equipped with a distinguished automorphism. We carry out this study in two different contexts depending on the interaction between the valuation and the distinguished automorphism. In both contexts we obtain analogues of the classical results from the model theory of valued …

    uiuc Repository record

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