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COMBINATORICS
2006
95views more  COMBINATORICS 2006»
13 years 11 months ago
Nilpotent Singer Groups
Let N be a nilpotent group normal in a group G. Suppose that G acts transitively upon the points of a finite non-Desarguesian projective plane P. We prove that, if P has square or...
Nick Gill
FFA
2011
90views more  FFA 2011»
13 years 6 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
IJAC
2008
116views more  IJAC 2008»
13 years 11 months ago
A Nilpotent Quotient Algorithm for Certain Infinitely Presented Groups and its Applications
We describe a nilpotent quotient algorithm for a certain type of infinite presentations: the so-called finite L-presentations. We then exhibit finite L-presentations for various i...
Laurent Bartholdi, Bettina Eick, René Hartu...
APAL
2011
13 years 6 months ago
The complexity of central series in nilpotent computable groups
The terms of the upper and lower central series of a nilpotent computable group have computably enumerable Turing degree. We show that the Turing degrees of these terms are indepe...
Barbara F. Csima, Reed Solomon
EJC
2008
13 years 11 months ago
Explicit constructions of loops with commuting inner mappings
In 2004, Cs
Ales Drápal, Petr Vojtechovský