2004-08-09 14:40:10 UTC
problems is posed:
(1) What does the Parker Vector of a permutation group G tell us about G.
(2) In particular,which groups or classes of groups are determined by P(G)?
Generally what progress has been made on problems ? In R.A. Parker's
paper "The Computer Calculation of Modular Characters" In Computational Group
Theory ,ed M.D. Atkinson Academic Press (1984) p.272
Parker remarks that if A1 ,B1, generate a representation and A2 ,B2 generate
another of the same dimensions then using the methods described in his
paperthat a simultaneous solution to the equations
X A1 X^(-1)= A2, X B1X^(-1)X
can be computed should one such solution exist.
This same equations arose in another context AAG 1999
I. Anshel,M. Anshel and D. Goldfeld, "An Algebraic Method for
Public-Key Cryptography Mathematical Research Letters 6,1-5,(1999)
and interested readers are invited to contact me regarding AAG 1999.
This researcher would like to thank Professor Alex Ryba for introducing
Parker's ideas and methods in a recent conversation.
Professor Michael Anshel
Department of Computer Sciences R8/206
The City College of New York
New York,New York 10031