We present an algebraic approach to Mislin’s theorem that control of pfusion is equivalent to inducing a mod-p cohomology isomorphism. There are consequences for the cohomology of p-permutation modules.

Using the classification of formal deformation quantizations, and the formal, algebraic index theorem, I give a simple proof as to which formal deformation quantization (modulo isomorphism) is derived from a given geometric quantization.

The isomorphism problem for finitely generated Coxeter groups is the problem of deciding if two finite Coxeter matrices define isomorphic Coxeter groups. Coxeter [3] solved this problem for finite irreducible Coxeter groups. Recently there has been considerable interest and activity on the isomorphism problem for arbitrary finitely generated Coxeter groups. In this paper, we determine some stro...

In this paper we explicitly determine the derivation algebra, automorphism group of quasi Qn-filiform Lie algebras, and applying some properties of root vector decomposition we obtain their isomorphism theorem. AMS Classification: 17B05; 17B30

An L-isomorphism between inverse semigroups S and T is an isomorphism between their lattices L(S) and L(T ) of inverse subsemigroups. The author and others have shown that if S is aperiodic – has no nontrivial subgroups – then any such isomorphism Φ induces a bijection φ between S and T . We first characterize the bijections that arise in this way and go on to prove that under relatively weak ‘...

Abstract In this chapter, we recall the notion of monomial structures (and their isomorphism) on a representation, show natural structure induced representations, and introduce solitary characters (characters whose representation has unique up to isomorphism); these may be used detect conjugacy subgroups. We also specific type wreath product construction state prove Bart de Smit’s theorem exist...

Affine difference algebraic groups are a generalization of affine obtained by replacing equations with equations. We show that the isomorphism theorems from abstract group theory have meaningful analogs for these and we establish Jordan–Hölder type theorem allows us to decompose any into almost-simple groups. also characterize via

Recently the author has presented a new approach to solving coefficient problems for holomorphic functions based on deep features of Teichmüller spaces. It involves Bers isomorphism theorem spaces punctured Riemann surfaces. The aim present paper is provide applications this and extend indicated results more general classes functions.

in this paper, we consider a class of connected oriented (with respect to z/p) closed g-manifolds with a non-empty finite fixed point set, each of which is g-equivariantly formal, where g = z/p and p is an odd prime. using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a g-manifold in terms of algebra. this makes it p...

One of the basic properties of the Clifford algebra gives an explicit basis for it in terms of a basis of the underlying vector space (Theorem 1 below), and another one provides a vector space isomorphism between the Clifford algebra and the exterior algebra of the same vector space (the so-called Chevalley map, Theorem 2 below). While both of these properties appear in standard literature such...