Showing papers in "Journal of Algebra in 1987"

TL;DR: In this article, the maximal subgroups of alternating groups A and S are known for several classes of degrees n, where S is an alternating group A, and X is a simple group A.

TL;DR: In this article, the authors generalize these results to the other classical groups over C. The results for GL(n) which are known as Littlewood-Richardson coefficients and the Kostka coefficients can be expressed in the combinatorial manner using only Young diagrams independently of the rank n of GL (n).

TL;DR: In this paper, it was shown that if W is an affine Weyl group, then W contains only finitely many left cells; each two sided cell of W which is finite, carries a square integrable representation of the corresponding Hecke algebra.

TL;DR: In this paper, the authors view the cyclic homology of an algebra as a composite functor, and propose a formula for HC,(A @A' ) that involves the periodicity operator S and the Hochschild groups.

TL;DR: In this article, the authors define flasque tori and flasques resolutions of tori over an arbitrary base scheme (Sect. 1) and establish the basic cohomological properties of Flasque Tori over a regular scheme.

TL;DR: On considere le produit tensoriel generalise G⊗H des groupes G, On presente le calcul de G×G as mentioned in this paper, le calcul of G×H

TL;DR: In this article, the authors studied a special class of finite p-groups, which they called powerful p-group, and they gave several results on these groups, in particular show that many naturally defined subgroups of them are also powerful, and then use this to show that if H is any subgroup of the powerful group G, then the number of generators of H is at most the same number for G.

TL;DR: A substantial amount of work has been devoted to finding the maximal subgroups of finite simple groups and their automorphism groups as discussed by the authors, and the main result of this nature appears in Wiman [42] and Moore [33].

TL;DR: In this article, the Ostrom-Wagner Theorem for finite projective planes was shown to be desarguesian in the presence of a 2-transitive collineation group on incident point-line pairs.

TL;DR: In this article, it was shown that the fixed subgroup of elements fixed by the automorphism is finitely generated in the usual sense, and that the set of fixed points of this homeomorphism is fixed in a certain sense.

TL;DR: In this article, it was shown that a Q -algebra R with formal trace can be realized as n × n matrices if and only if it satisfies the Cayley Hamilton identity of degree n.

TL;DR: In this paper, the authors define a regular quadratic Lie algebra of dimension 2 + dim g, denoted (g,, (Pi), which they call the extension of (g, cp) by d (Proposition 2.3).

TL;DR: In this article, the authors apply their results from the first part [LM] to p-adic analytic pro-p groups, i.e., groups which are Lie groups over the field of padic numbers.

TL;DR: In this paper, the integrally closed ideals in Noetherian rings were studied and a structure theorem for integrably closed ideals was given, where the integral closure I of Z is defined as the set of elements in A which are integral over Z and the ideal Z is called integral closed if f = I.

TL;DR: In this paper, the authors study groups given by presentations each of whose defining relations is of the form ql= yx for some generators.Y and y. They call GX a graph group.

TL;DR: In this article, it was shown that the complete and completely disconnected graphs correspond to free abelian and free groups, respectively, and that any subgroup of a group of either of these types is again of the same type, and it is thus natural to ask to what extent and in what form this is true of the graph groups that lie in between these extreme cases.

TL;DR: In this article, it was shown that any torsion-free p-reduced, p-cotorsion free, commutative ring S may be embed88 0021-8693/87 $3.00

TL;DR: In this article, it was shown that an ideal I generated by a d-sequence and such that R/I is strongly Cohen-Macaulay is a Gorenstein ring.

TL;DR: In this paper, it was shown that the quadratic form (1, a) only represents elements in % u a% and such an element a is called divisible by two.

TL;DR: In this article, the class of finitely presented modules with finitely generated modules was introduced, and it was shown that finitely split epimorphism is equivalent to the following condition: if a (finite or infinite) system of linear equations C;= 1 a,x, = bi (i E I) with au E R and bi E B has a solution x,, x2,..., x, in A then it has a solutions in B, i.e.

TL;DR: In this article, the symmetric Martindale ring of quotients for various classes of prime rings is discussed and computed. In particular, free and group algebras are considered.

TL;DR: In this paper, a multilinear invariant of a generic n × n matrices over a field k of characteristic zero is defined, and an analysis of this function is used to prove Regev's conjecture that ∑ π ϱϵSπZ 2 ( sign πϱ)