Results 11 to 20 of about 631,509 (118)
Completeness properties of locally quasi-convex groups
Topology and its Applications, 2001 It is natural to extend the Grothendieck theorem on completeness, valid for locally convex topological vector spaces, to Abelian topological groups. The adequate framework to do it seems to be the class of locally quasi-convex groups. However, in this paper we present examples of metrizable locally quasi-convex groups for which the analogue to the ...
Martin-Peinador, E. (E.) +3 more
openaire +5 more sources
Local homology properties of boundaries of groups.
Michigan Mathematical Journal, 1996 Let \(\widetilde X\) be a Euclidean retract, ER (embeddable in some Euclidean space as a retract). A closed subset \(Z\) of \(\widetilde X\) is a \(Z\)-set if there is deformation \(h_t\): \(\widetilde X\to \widetilde X\) with \(h_0= \text{id}\) and \(h_t(\widetilde X) \cap Z= \emptyset\) for \(t>0\) (two equivalent definitions are given).
openaire +2 more sources
Some properties of locally compact groups [PDF]
Journal of the Australian Mathematical Society, 1967 In this paper a number of questions about locally compact groups are studied. The structure of finite dimensional connected locally compact groups is investigated, and a fairly simple representation of such groups is obtained. Using this it is proved that finite dimensional arcwise connected locally compact groups are Lie groups, and that in general ...
openaire +1 more source
Bimodule properties of group-valued local fields and quantum-group difference equations [PDF]
Physics Letters B, 1996 We give an explicit construction of the quantum-group generators ---local, semi-local, and global --- in terms of the group-valued quantum fields $\tilde g$ and $\tilde g^{-1}$ in the Wess-Zumino-Novikov-Witten (WZNW) theory. The algebras among the generators and the fields make concrete and clear the bi-module properties of the $\tilde g$ and the ...
Chau, Ling-Lie, Yamanaka, Itaru
openaire +2 more sources
Ergodic Properties of Automorphisms of a Locally Compact Group [PDF]
Proceedings of the American Mathematical Society, 1966 The following remark is made by Halmos in his book [2, p. 29]. "Can an automorphism of a locally compact but noncompact group be an ergodic measure preserving transformation? Nothing is known about this subject. Only in the compact case has anything ever been done." The aim of this paper is to give an answer to this question of Halmos.
openaire +2 more sources
On Local Embedding Properties of Injectors of Finite Soluble Groups [PDF]
Journal of the Australian Mathematical Society, 2004 AbstractIn the present paper we consider Fitting classes of finite soluble groups which locally satisfy additional conditions related to the behaviour of their injectors. More precisely, we study Fitting classes 1 ≠⊆such that an-injector of G is, respectively, a normal, (sub)modular, normally embedded, system permutable subgroup of G for all G ...
openaire +2 more sources
A Trio of New Local Group Galaxies with Extreme Properties [PDF]
The Astrophysical Journal, 2008 We report on the discovery of three new dwarf galaxies in the Local Group. These galaxies are found in new CFHT/MegaPrime g,i imaging of the south-western quadrant of M31, extending our extant survey area to include the majority of the southern hemisphere of M31's halo out to 150 kpc.
McConnachie, AW +10 more
openaire +3 more sources
Some residual properties of locally nilpotent groups
Journal of Algebra, 2011 Abstract We prove that locally nilpotent linear groups are divisible by residually-periodic and actually enjoy various stronger properties. Examples severely restrict the possibilities for generalizations, but we do extend our results from linear groups to groups of automorphisms of both Noetherian modules and Artinian modules over commutative rings.
openaire +1 more source
Properties of massive stars in the local group [PDF]
, 2021 Στην παρούσα διδακτορική διατριβή, παρουσιάζεται μια εκτενής μελέτη δυο διαφορετικών εξελικτικών σταδίων αστέρων μεγάλης μάζας: εξελιγμένοι, μέσης μάζας αστέρες που έχουν επιβιώσει του σταδίου των ερυθρών υπεργιγάντων (RSGs) και εμφανίζονται ως Κίτρινοι Υπεργίγαντες (YHGs), και θερμοί αστέρες της Κύριας Ακολουθίας που παρατηρούνται ως μέλη σε ενα ...
openaire +1 more source
Some properties of locally quasi-convex groups
Topology and its Applications, 1997 The author considers an analog of convexity for topological groups defined by N. Vilenkin in 1951 as follows. A subset \(S\) of a topological group \(G\) is called quasi-convex if for every \(x\in G\backslash S\) there exists a continuous character \(\chi: G\to \mathbb{T}\) such that \(\text{Re} \chi (x)
openaire +1 more source