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» Expanders In Group Algebras
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FFA
2011
90views more  FFA 2011»
13 years 2 months ago
Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents
We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of ...
Inneke Van Gelder, Gabriela Olteanu
MOC
1998
87views more  MOC 1998»
13 years 7 months ago
Tables of unit groups and class groups of quintic fields and a regulator bound
Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fi...
Michael E. Pohst, K. Wildanger
IJAC
2007
94views more  IJAC 2007»
13 years 7 months ago
Automorphism Groups of Squares and of Free Algebras
We show that certain finite groups do not arise as the automorphism group of the square of a finite algebraic structure, nor as the automorphism group of a finite, 2-generated, ...
Keith A. Kearnes, Steven T. Tschantz
JSC
2010
62views more  JSC 2010»
13 years 6 months ago
Some new simple Lie algebras in characteristic 2
We describe an algorithm for computing automorphism groups and testing isomorphisms of finite dimensional Lie algebras over finite fields. The algorithm is particularly effect...
Bettina Eick
JSC
2006
71views more  JSC 2006»
13 years 7 months ago
Brauer groups of diagonal quartic surfaces
We describe explicit methods of exhibiting elements of the Brauer groups of diagonal quartic surfaces. Using these methods, we compute the algebraic Brauer
Martin Bright