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Title:Focus on Group Theory Research
Author:Lawrence M Ying (ed)
ISBN:1594549672 : 9781594549670
Format:Hardback
Size:180x260mm
Pages:154
Weight: .573 Kg.
Published:Nova Science Publishers - December 2006
List Price: 85.99 Pounds Sterling
Availability:In Print
Subjects:MATHEMATICS


A great many of the objects investigated in mathematics turn out to be groups. These include familiar number systems, such as the integers, the rational numbers, the real numbers, and the complex numbers under addition, as well as the non-zero rationals, reals, and complex numbers, under multiplication. Another important example is given by non-singular matrices under multiplication, and more generally, invertible functions under composition. Group theory allows for the properties of these systems and many others to be investigated in a more general setting, and its results are widely applicable. Group theory is also a rich source of theorems in its own right. Groups underlie many other algebraic structures such as fields and vector spaces. They are also important tools for studying symmetry in all its forms; the principle that the symmetries of any object form a group is foundational for much mathematics. For these reasons, group theory is an important area in modern mathematics, and also one with many applications to mathematical physics. This book presents the latest research in the field.

Preface; A Local Hausdorff-Young Inequality on the Classical Compact Lie Groups and Related Topics; Endomorphisms and Endomorphism Semigroups of Groups; Semidirect Products of Loops and Groups of Dieomorphisms of Real, Complex and Quaternion Manifolds and their Representations; On Controllers of Prime Ideals in Group Algebras of Torsion-Free Abelian Groups of Finite Rank; Index.