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Showing 1 to 20 of 35 for “"Automorphism Group"”.

  1. 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

  2. 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

  3. 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

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

    Zimmerman, Jay JamesUniversity of Illinois at Urbana-Champaign2014

    … of the relationship 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 …

    uiuc Repository record

  5. 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

  6. 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

  7. Generator Matrix Based Search for Extremal Self-Dual Binary Error-Correcting Codes

    Derka, MartinBrock University2012

    … is still open. Previous results show that the automorphism group of a putative code C with the aforementioned properties has order 5 or dividing 24. In this work, we present a method and the results of an exhaustive search showing that such a code C cannot admit an automorphism group Z6. In …

    brock Repository record

  8. In solving the dominating set problem : group theory approach

    Ma, Ka Leung1998

    … of assuming that the solution has a non-trivial automorphism group. A general purpose algorithm for solving the dominating set problem is developed by using a coverage test, a wastage test, and the orbit and block structure of the graph's symmetry group to prune the search. The algorithm has been …

    concordia Repository record

  9. 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

  10. On the primarity of some block intersection graphs

    Vodah, SundayUniversity of the Western Cape2018

    … subgeometries as factorizations and examine the automorphism group of the new structures. These tactical con gurations at rst sight do not form interesting structures. However, as will be shown, they o er some level of intriguing symmetries. It will be shown that they inherit the automorphism …

    western-cape Repository record

  11. Rational Schur Rings over Abelian Groups

    Kerby, Brent L.2008

    … showed that the rational S-rings over a cyclic group Z_n are in one-to-one correspondence with sublattices of the divisor lattice of n, or equivalently, with sublattices of the lattice of subgroups of Z_n. This idea is easily extended to show that for any finite group G, sublattices of the …

    byu Repository record

  12. 1-Factorizations of tensor products of graphs

    George, John ClayUniversity of Illinois at Urbana-Champaign2011

    … to study them, we develop results about the automorphism group of tensor products of graphs. The 1-factors of a particular product are analyzed extensively, and a new concept, the factor graph of a graph, is introduced.

    uiuc Repository record

  13. Automorphisms of Graph Curves on K3 Surfaces

    Ferrerra, Joshua C2015

    <p>We examine the automorphism group of configurations of rational curves on $K3$ surfaces. We use the properties of finite automorphisms of $\PP^1$ to examine what restrictions a given elliptic fibration imposes on the possible finite order non-symplectic automorphisms of the $K3$ surface. We also …

    gsu Repository record

  14. Calculation of Galois groups

    Schnackenberg, Daniel2018

    … the close relationship between fields and their automorphism group. This paper is a survey of the techniques of Galois theory. After presenting the main results of elementary Galois theory and some useful facts about factorization, I develop the important methods of calculating the Galois group …

    nodak Repository record

  15. Group automorphisms of incidence algebras.

    Rebrovich, Jack, 1994-Baylor University.2021

    … locally finite posets (P,≤). We investigate the group of units U(FI(P)) of incidence algebras and its normal subgroups. This includes the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. Lastly, we will classify the automorphism group of …

    baylor Repository record

  16. 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

  17. Discrete symmetry analysis of partial differential equations for bond pricing

    Ledwaba, Nomsa MaripaDepartment of Mathematics and Applied Mathematics2018

    … equation (PDE) with the aid of the full automorphism group of the Lie algebra associated to the standard B-S PDE. The paper determines the discrete symmetries using two methods. The first is by G. Silberberg which determines the full automorphism group by constructing the symmetry …

    cape-town Repository record

  18. 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

  19. Progenitors Related to Simple Groups

    Valencia, Elissa Marie2015

    … 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 …

    csusb Repository record

  20. Purity of the stratification by Newton polygons and Frobenius-periodic vector bundles

    Yang, Yanhong2013

    … X over a finite field k of characteristic 2 with automorphism group Z/2Z × S_3, there exist SL(2,k[[s]])-representations of π_1(X) such that the image of π_1(X^-) is infinite. This result produces a family of examples similar to Laszlo's counterexample [Las01] to a question regarding the …

    columbia-diss Repository record

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