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COMBINATORICS
2006
95views more  COMBINATORICS 2006»
9 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»
9 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»
9 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
9 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
9 years 11 months ago
Explicit constructions of loops with commuting inner mappings
In 2004, Cs
Ales Drápal, Petr Vojtechovský
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