Structure des demi-groupes dont le treillis des sous-demi-groupes est semi-modulaire
Structure des demi-groupes dont le treillis des sous-demi-groupes satisfait à certaines conditions
Structure des hypergroupes quotients et des hypergroupes de type U
Structure du groupe orthogonal
Structure locale dans les groupes finis
Structure of a group with elements of order at most 4.
Structure of geodesics in the Cayley graph of infinite Coxeter groups
Let (W,S) be a Coxeter system such that no two generators in S commute. Assume that the Cayley graph of (W,S) does not contain adjacent hexagons. Then for any two vertices x and y in the Cayley graph of W and any number k ≤ d = dist(x,y) there are at most two vertices z such that dist(x,z) = k and dist(z,y) = d - k. Allowing adjacent hexagons, but assuming that no three hexagons can be adjacent to each other, we show that the number of such intermediate vertices at a given distance from x and y...
Structure of group invariants of a quasiperiodic flow.
Structure of partially ordered cyclic semigroups
This paper recalls some properties of a cyclic semigroup and examines cyclic subsemigroups in a finite ordered semigroup. We prove that a partially ordered cyclic semigroup has a spiral structure which leads to a separation of three classes of such semigroups. The cardinality of the order relation is also estimated. Some results concern semigroups with a lattice order.
Structure of radicals in bands of semigroups.
Structure of regular semigroups I: fundamental regular semigroups.
Structure of regular semigroups II: the general case.
Structure of regular semigroups with a quasi-ideal inverse transversal.
Structure of the group preserving a bilinear form.
Structure of the Unit Group of FD10
2000 Mathematics Subject Classification: 16U60, 20C05.The structure of the unit group of the group algebra FD10 of the dihedral group D10 of order 10 over a finite field F has been obtained.Supported by National Board of Higher Mathematics, DAE, India.
Structure of the unit group of the group algebras of non-metabelian groups of order 128
We characterize the unit group for the group algebras of non-metabelian groups of order 128 over the finite fields whose characteristic does not divide the order of the group. Up to isomorphism, there are 2328 groups of order 128 and only 14 of them are non-metabelian. We determine the Wedderburn decomposition of the group algebras of these non-metabelian groups and subsequently characterize their unit groups.
Structure of triabelian quasigroups
Structure of unitary groups over finite group rings and its application
In this paper, we determine all the normal forms of Hermitian matrices over finite group rings , where , is a commutative -group with order . Furthermore, using the normal forms of Hermitian matrices, we study the structure of unitary group over through investigating its BN-pair and order. As an application, we construct a Cartesian authentication code and compute its size parameters.
Structure of weakly abelian quasigroups
Structure theorems for regular semigroups.