ACEExample Index (Table of Contents)
------------------------------------
This table of possible examples is displayed when calling ACEExample
with no arguments, or with the argument: "index" (meant in the sense
of `list'), or with a non-existent example name.
The following ACE examples are available (in each case, for a subgroup
H of a group G, the cosets of H in G are enumerated):
Example G H strategy
------- - - --------
"A5" A_5 Id default
"A5-C5" A_5 C_5 default
"C5-fel0" C_5 Id felsch := 0
"F27-purec" F(2,7) = C_29 Id purec
"F27-fel0" F(2,7) = C_29 Id felsch := 0
"F27-fel1" F(2,7) = C_29 Id felsch := 1
"M12-hlt" M_12 (Matthieu group) Id hlt
"M12-fel1" M_12 (Matthieu group) Id felsch := 1
"SL219-hard" SL(2,19) |G : H| = 180 hard
"perf602p5" PerfectGroup(60*2^5,2) |G : H| = 480 default
* "2p17-fel1" |G| = 2^17 Id felsch := 1
"2p17-fel1a" |G| = 2^17 |G : H| = 1 felsch := 1
"2p17-2p3-fel1" |G| = 2^17 |G : H| = 2^3 felsch := 1
"2p17-2p14-fel1" |G| = 2^17 |G : H| = 2^14 felsch := 1
"2p17-id-fel1" |G| = 2^17 Id felsch := 1
* "2p18-fel1" |G| = 2^18 |G : H| = 2 felsch := 1
* "big-fel1" |G| = 2^18.3 |G : H| = 6 felsch := 1
* "big-hard" |G| = 2^18.3 |G : H| = 6 hard
Notes
-----
1. The example (first) argument of ACEExample() is a string; each
example above is in double quotes to remind you to include them.
2. By default, ACEExample applies ACEStats to the chosen example. You
may alter the ACE function used, by calling ACEExample with a 2nd
argument; choose from: ACECosetTableFromGensAndRels (or, equival-
ently ACECosetTable), or ACEStart, e.g. `ACEExample("A5", ACEStart);'
3. You may call ACEExample with additional ACE options (entered after a
colon in the usual way for options), e.g. `ACEExample("A5" : hlt);'
4. Try the *-ed examples to explore how to modify options when an
enumeration fails (just follow the instructions you get within the
break-loop, or see Notes 2. and 3.).
5. Try `SetInfoLevel(InfoACE, 3);' before calling ACEExample, to see the
effect of setting the "mess" (= "messages") option.
6. To suppress a long output, use a double semicolon (`;;') after the
ACEExample command. (However, this does not suppress Info-ed output.)
7. Also, try `SetInfoLevel(InfoACE, 2);' or `SetInfoLevel(InfoACE, 4);'
before calling ACEExample.
¤ Dauer der Verarbeitung: 0.2 Sekunden
(vorverarbeitet)
¤
*© Formatika GbR, Deutschland
|
|
