1# Compute pc presentation # Input group identifier
name # Input prime 5 # Input maximum class 1 # Input print level (0-3) 1 # Input number of generators 2 # Input number of relations 0 # Input exponent law (0if none) 5 # Input relations (...)
# Select option 7# Compute p-covering group # Select option # To manipulate the p-covering presentation go to advanced menu (8) # see example Y (set metabelian flag) # or go to p-group generation (9) 8 1 51; 17 1 52; 17 11 0 9 # Select option (in p-group generation basic menu) # For detailed control go to advanced p-group generation menu (6) # else 1 # Input the number of automorphisms 2 # Now enter the data for automorphism 1 # Input ... exponents for image of pcp generator 1and so on 20 01 41 40
0# number of soluble automorphisms # if number of soluble automorphisms is nonzero need to enter # the relative order of each soluble automorphism
# image of generator d under automorphism a
# B. from data file
# Select option (in p-group generation basic menu) # For detailed control go to advanced p-group generation menu (6)
# Enter input file name
# Which group? # Now there is a group with its automorphisms ready to process
# Select option # Go straight to descendant construction (5) or first extend # and display automorphisms (2) or go to the advanced menu (6) 5 # Input class bound on descendants 4 # Construct all descendants? Different follow up questions 1 # if yes, # Set an order bound on the descendants? 1 # Input order bound on descendants 7 # if no andclass increase 1 # Input step size
# if no andclass increase more than 1 # Constant step size?
# if yes, Input step size
# if no, Input ... step sizes: s t u ...
# PAG-generating sequence for automorphism group? # if no, calls CAYLEY (not available on VAX) and # creates files which should eventually be deleted 0 # Do you want default algorithm? 0 # if no, Rank of the initial segment subgroup? (0fordefault) 0 # if PAG, Space efficient computation?
# Completely process terminal descendants? 0 # Input exponent law (0if none) 5 # Enforce metabelian law? 0
# Do you want default output? 0 # if no, answer questions, and in some cases, supplementaries # Do you want default permutation group output? 1 # if no, # Print degree of permutation group?
# Print extended automorphisms?
# Print automorphism matrices?
# Print permutations?
# Do you want default orbit information? 1 # if no, # Summary of orbit information?
# Complete listing of orbits?
# Do you want default group information? 0 # if no, # Print standard matrix of allowable subgroup? 0 # Presentation of reduced p-covering groups? 0 # Presentation of immediate descendants? 1 # Print nuclear rank of descendants? 1 # Print p-multiplicator rank of descendants? 1 # Do you want default automorphism group information? 0 # if no, # Print commutator matrix? 0 # Automorphism group description of descendants? 0 # Automorphism group order of descendants? 1 # Do you want algorithm trace information? 0
# Now program calculates all the immediate descendants prescribed and # produces the output requested # It also creates output files name_class* which contain groups, described # by their (attentuated) covering groups and automorphisms
# Select option (3 to select a group to continue, # 0 to return to main menu) 0 # Select option (in whatever menu, 0 to exit main menu) 0
# ? extend template to handle advanced menu
# This is to be followed by some explicit examples of input files built # from the templateand the corresponding outputs # e.g. thin metabelian, exponent p
Messung V0.5 in Prozent
[Dauer der Verarbeitung: 0.17 Sekunden, vorverarbeitet 2026-06-18]