Shemetkova, O.(Algebra and Discrete Mathematics, 2004)
Let H be a normal subgroup of a finite group G.
A number of authors have investigated the structure of G under
the assumption that all minimal or maximal subgroups in Sylow
subgroups of H are well-situated in G. A general ...
Ahmad Alsheik Ahmad(Algebra and Discrete Mathematics, 2004)
Following [1] we say that subgroups H and T of
a group G are c-permutable in G if there exists an element x ∈ G
such that HTˣ = TˣH. We prove that a finite soluble group G is
supersoluble if and only if every maximal ...
Petrychkovych, V.M.(Algebra and Discrete Mathematics, 2004)
The collections (A1, ..., Ak) and (B1, ..., Bk) of
matrices over an adequate ring are called generalized equivalent if
Ai = UBiVi for some invertible matrices U and Vi
, i = 1, ..., k.
Some conditions are established ...
Semko, M.M.; Kuchmenko, S.M.(Algebra and Discrete Mathematics, 2004)
A subgroup H of a group G is said to be nearly
normal, if H has a finite index in its normal closure. These subgroups have been introduced by B.H. Neumann. In a present paper
is studied the groups whose non polycyclic ...
Mellit, A.(Algebra and Discrete Mathematics, 2004)
We consider the algebras eiΠλ
(Q)ei
, where Πλ
(Q)
is the deformed preprojective algebra of weight λ and i is some vertex of Q, in the case where Q is an extended Dynkin diagram and
λ lies on the hyperplane orthogonal ...
Bondarenko, V.M.; Polishchuk, A.M.(Algebra and Discrete Mathematics, 2004)
In this paper
we study the structure of infinite posets with positive Tits form. In
particular, there arise posets of specific form which we call minimax
sums of posets.
Shestakov, I.; Zhukavets, N.(Algebra and Discrete Mathematics, 2004)
We study Kuzmin’s conjecture on the index of
nilpotency for the variety N il₅ of associative nil-algebras of degree 5. Due to Vaughan-Lee [11] the problem is reduced to that
for k-generator N il₅-superalgebras, where k ...
Marini, A.; Shcherbacov, V.(Algebra and Discrete Mathematics, 2004)
In this article we study structure of autotopies,
automorphisms, autotopy groups and automorphism groups of nary linear quasigroups.
We find a connection between automorphism groups of some
special kinds of n-ary ...
Jushenko, E.(Algebra and Discrete Mathematics, 2004)
In this paper we study affine Coxeter groups. We
show how to construct decompositions of the investigated groups
into semi-direct products. We use this to give the complete list of
irreducible representations of affine ...
Mazorchuk, V.(Algebra and Discrete Mathematics, 2004)
In this survey we discuss the results on the finitistic dimension of various stratified algebras. We describe what is
already known, present some recent estimates, and list some open
problems.
Bezushchak, O.(Algebra and Discrete Mathematics, 2004)
The inverse semigroup of partially defined co–
finite automorphisms of integers is considered. This semigroup is
presented by generators and defining relations and its growth function is described.
Kulikova, O.V.(Algebra and Discrete Mathematics, 2004)
The paper is a generalization of [2]. For a group
H = ‹A|O›, conditions for the equality Ñ₁ ∩ Ñ₂ = Ñ₁, Ñ₂] are
given in terms of pictures, where Ñi is the normal closure of a set R¯
i ⊂ H for i = 1, 2.
Krempa, J.(Algebra and Discrete Mathematics, 2004)
The uniform dimension, also known as Goldie
dimension, can be defined and used not only in the class of modules,
but also in large classes of lattices and groups. For considering this
dimension it is necessary to involve ...
Sonkin, D.(Algebra and Discrete Mathematics, 2004)
It is shown that the set of pairwise non-isomorphic
2-generated simple groups of exponent n (n ≥ 2⁴⁸ and n is odd or
divisible by 2⁹
) is of cardinality continuum. As a corollary, for any
sufficiently large n the ...
Chapovsky, Yu.A.; Kalyuzhnyi, A.A.; Podkolzin, G.B.(Algebra and Discrete Mathematics, 2004)
For the cocycle bicrossed product construction
applied to a locally compact group and its two subgroups, we give
a simple description of the group of the corresponding extensions
in terms of the second cohomology group ...
Kyrychenko, A.A.; Samoılenko, Yu.S.(Algebra and Discrete Mathematics, 2004)
Let H be a unitary (finite dimensional Hilbert) space. It is known [1] that a self-adjoint operator on H, A = A* ≥ 0, is a sum of n orthogonal projections for some n ∈ N if and only if 1) tr A ∈ N∪{0}, 2) tr A ≥ dim Im A ...
Bondarenko, V.M.(Algebra and Discrete Mathematics, 2004)
Let Λ denote an extended Dynkin diagram with
vertex set Λ0 = {0, 1,... ,n}. For a vertex i, denote by S(i) the set
of vertices j such that there is an edge joining i and j; one assumes
the diagram has a unique vertex ...