From 61861d930ee31bba9fe96d6e1ff86264368348b2 Mon Sep 17 00:00:00 2001
From: Friedrich Rober <friedrich.rober@rwth-aachen.de>
Date: Wed, 7 Nov 2018 16:11:27 +0100
Subject: Add test

---
 test.g | 63 ++++++++++++++++++++++++++-------------------------------------
 1 file changed, 26 insertions(+), 37 deletions(-)

diff --git a/test.g b/test.g
index e6b967e..40a36c2 100644
--- a/test.g
+++ b/test.g
@@ -1,37 +1,26 @@
-gap> Read("subgroupladder.g");
-gap> l := [[2,3,5,8],[6,12,15],[14,9,17],[19,7,4,13,1,18],[20,16]];
-[ [ 2, 3, 5, 8 ], [ 6, 12, 15 ], [ 14, 9, 17 ], [ 19, 7, 4, 13, 1, 18 ], [ 20, 16 ] ]
-gap> P := DirectProduct(List(l, SymmetricGroup));
-<permutation group of size 1244160 with 9 generators>
-gap> Subgroupladder(P);
-[ <permutation group of size 1244160 with 9 generators>, <permutation group of size 311040 with 9 generators>, <permutation group of size 2177280 with 9 generators>, <permutation group of size 725760 with 8 generators>, 
-  <permutation group of size 5806080 with 8 generators>, <permutation group of size 2903040 with 7 generators>, <permutation group of size 26127360 with 7 generators>, <permutation group of size 261273600 with 7 generators>, 
-  <permutation group of size 87091200 with 6 generators>, <permutation group of size 958003200 with 6 generators>, Group([ (1,2,3,4,5,6,7,8,9,10,11), (1,2), (12,13,14), (12,13), (15,16) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,
-   12), (1,2), (13,14,15), (13,14), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13), (1,2), (14,15,16), (14,15), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13), (1,2), (14,15), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,
-   10,11,12,13,14), (1,2), (15,16), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14), (1,2), (15,16) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15), (1,2), (16,17) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
-   16), (1,2), (17,18) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16), (1,2) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17), (1,2) ]), Group([ (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18), (1,2) ]) ]
-gap> ll := List(last, Order);
-[ 1244160, 311040, 2177280, 725760, 5806080, 2903040, 26127360, 261273600, 87091200, 958003200, 479001600, 5748019200, 74724249600, 24908083200, 348713164800, 174356582400, 2615348736000, 41845579776000, 20922789888000, 
-  355687428096000, 6402373705728000 ]
-gap> for i in [2..Length(ll)] do Print(ll[i]/ll[i-1],"\n"); od;
-1/4
-7
-1/3
-8
-1/2
-9
-10
-1/3
-11
-1/2
-12
-13
-1/3
-14
-1/2
-15
-16
-1/2
-17
-18
-gap> 
+TestRandom := function(n)
+  local
+    p,
+    g,
+    l, 
+    i;
+
+  p := RandomPartialPerm(n);
+  p := ComponentsOfPartialPerm(p);
+  g := YoungGroupFromPartition(p);
+  l := SubgroupLadder(g);
+  
+  for i in [2..Length(l)] do
+    if Order(l[i]) < Order(l[i-1]) then
+      if not (IsSubgroup(l[i-1],l[i]) and Order(l[i-1])/Order(l[i]) <= n) then
+        return false;
+      fi;
+    else
+      if not (IsSubgroup(l[i],l[i-1]) and Order(l[i])/Order(l[i-1]) <= n) then
+        return false;
+      fi;
+    fi;
+  od;
+
+  return true;
+end;
-- 
cgit v1.2.3-24-g4f1b