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Interconnection Locality and Group Locality
EUROCON 2005 - The International Conference on "Computer as a Tool", 2005The interconnection locality is the behavior of a network around the origin and it is firstly understood as neighborhood. The group locality, which we try to define in this paper, is another point of view on the networks locality, opposite, in some way, to the globality.
C. Lupu, T. Niculiu
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Infinite locally dihedral groups as automorphism groups
Ricerche di Matematica, 2014It is well-known that there exist groups which cannot be realized as full automorphism group of any group, obvious examples being the (non-trivial) cyclic groups of odd order and (non-trivial) free groups. It was proved by \textit{D. J. S. Robinson} [Q. J. Math., Oxf. II. Ser.
CELENTANI, MARIA ROSARIA +2 more
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On a Group Acting Locally Freely on an Abelian Group
Siberian Mathematical Journal, 2003A group \(G\) acts freely on a nontrivial Abelian group \(V\) if \(vg\neq v\) for all \(g\in G\), \(g\neq1\), and all \(v\in V\), \(v\neq 1\). The author uses the coset enumeration algorithm and calculations in the discrete computational algebra system GAP [\textit{M. Schönert} et al.
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Locally Bicompact Abelian Groups and Their Character Groups
The Annals of Mathematics, 1935The theory of character groups of Abelian groups, long at a standstill near the beginning, has been taken up recently by L. Pontrjagin.1 He showed how the well known simple isomorphism of a finite Abelian group and its character group is a very special case of a dual one-to-one correspondence between compact separable Abelian groups and discrete ...
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A New Group Algebra for Locally Compact Groups
American Journal of Mathematics, 1964When an abstract group is represented by linear transformations on a vector space, the group of transformations generates an algebra. In the case of finite dimensional representations of a finite group, the algebra consists of linear combinations of elements in the range of the representation.
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On Local Lie Groups in a Locally Compact Group
The Annals of Mathematics, 1951openaire +2 more sources
Local Cancer Recurrence: The Realities, Challenges, and Opportunities for New Therapies
Ca-A Cancer Journal for Clinicians, 2018Chandrajit Raut, Mark Grinstaff
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