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Showing 1 to 10 of 10 for “"conjugacy class"”.

  1. Solutions to the conjugacy search and decision problems in the braid group using finite conjugacy class invariants

    For two braids, A, B ∈ Bn, the conjugacy decision problem asks whether another braid X ∈ Bn exists such that X−1 A X = B. If we know A, B ∈ Bn are indeed conjugate, the conjugacy search problem asks us to find a braid Y ∈ Bn such that Y −1 A Y = B. In this dissertation we investigate a number of …

    cape-town Repository record for Solutions to the conjugacy search and decision problems in the braid group using finite conjugacy class invariants (opens in a new tab)

  2. Counting and Averaging Problems in Graph Theory

    … on H with compact quotient, and choose a conjugacy class in this group. Count the number of vertices inside an increasing ball, which are images of a fixed point x in H under automorphisms in the chosen conjugacy class, and describe the asymptotic behaviour of this number as the size of …

    durham Repository record for Counting and Averaging Problems in Graph Theory (opens in a new tab)

  3. On the nilpotent injectors of the general linear groups

    … a subgroup H of G of maximal order satisfying class(H) $\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\not=$ 2, then the nilpotent injectors of GL(n,q) …

    uiuc Repository record for On the nilpotent injectors of the general linear groups (opens in a new tab)

  4. Topological Hochschild homology of twisted group algebras

    … wedge-sum on the left hand side ranges over the conjugacy classes of elements of G and the equivalence depends on a choice of representative g E (g) of every conjugacy class of elements in G.

    mit Repository record for Topological Hochschild homology of twisted group algebras (opens in a new tab)

  5. On complex reflection groups G(m, 1, r) and their Hecke algebras

    … constructed by the algorithm, for some special conjugacy class representatives of minimal length, one in each class. Quasi-parabolic subgroups are introduced for investigating representations of Ariki- Koike algebras. We use n x n arrays of non-negative integer sequences to characterize double …

    unsw Repository record for On complex reflection groups G(m, 1, r) and their Hecke algebras (opens in a new tab)

  6. Dynamics of Polish groups

    … that is, we show that for every m the diagonal conjugacy action g\cdot (h_1, h_2,...,h_m) = (gh_1g^{-1}, gh_2g^{-1},..., gh_mg^{-1}) of H(2^N) on H(2^N)^m has a comeager orbit. This answers a question of Kechris and Rosendal. We prove that the generic tuple in H(2^N)^m can be taken to be the …

    uiuc Repository record for Dynamics of Polish groups (opens in a new tab)

  7. ON A CONJUGATE CLASS OF SUBGROUPS DETERMINED BY A FORMATION

    … that the f-subgroups of G form a characteristic conjugacy class of CAR-subgroups of G. Moreover these subgroups generate G(,f). As a result, G is an element of the formation f if and only if an f-subgroup is equal to the identity subgroup.</p><p>It is established that an f-subgroup is a product …

    unh-thes Repository record for ON A CONJUGATE CLASS OF SUBGROUPS DETERMINED BY A FORMATION (opens in a new tab)

  8. Der methodische Einsatz von MÖBIUS-Transformationen über den Quaternionen in der Geometrie des Raumes

    … by specifying simple elements of the conjugacy class and examining their fixed point structure and iterative behaviour. June Lester has developed the theory of cross ratios in the compactified complex plane in several publications. She proves many identities for the cross ratio and …

    aachen Repository record for Der methodische Einsatz von MÖBIUS-Transformationen über den Quaternionen in der Geometrie des Raumes (opens in a new tab)