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Diffstat (limited to 'apps/plugins/puzzles/html/group.html')
| -rw-r--r-- | apps/plugins/puzzles/html/group.html | 52 |
1 files changed, 0 insertions, 52 deletions
diff --git a/apps/plugins/puzzles/html/group.html b/apps/plugins/puzzles/html/group.html deleted file mode 100644 index c0f52de..0000000 --- a/apps/plugins/puzzles/html/group.html +++ /dev/null @@ -1,52 +0,0 @@ -unfinished:Group -<p> -Fill in the grid with the letters shown to the top and left of it, so -that the full grid is a valid -<a href="http://en.wikipedia.org/wiki/Cayley_table">Cayley table</a> -for a -<a href="http://en.wikipedia.org/wiki/Group_(mathematics)">group</a>. -<p> -If you don't already know what a group is, I don't really recommend -trying to play this game. But if you want to try anyway, the above is -equivalent to saying that the following conditions must be satisfied: -<ul> -<li> -<strong>Latin square</strong>. Every row and column must contain -exactly one of each letter. -<li> -<strong>Identity</strong>. There must be some letter <i>e</i> such -that, for all <i>a</i>, the letter in row <i>e</i> column <i>a</i> and -the one in row <i>a</i> column <i>e</i> are both <i>a</i>. In the -default mode, this letter is always <i>e</i> and its row and column -are filled in for you; by reconfiguring the game using the Type menu, -you can select a mode in which you have to work out which letter is -the identity. -<li> -<strong>Inverses</strong>. For every letter <i>a</i>, there must be -some letter <i>b</i> (which may sometimes be the same letter -as <i>a</i>) such that the letters in row <i>a</i> column <i>b</i> and -in row <i>b</i> column <i>a</i> are both the identity letter (as -defined above). -<li> -<strong>Associativity</strong>. For every combination of -letters <i>a</i>, <i>b</i>, and <i>c</i>, denote the letter in -row <i>a</i> column <i>b</i> by <i>d</i>, and the one in row <i>b</i> -column <i>c</i> by <i>e</i>. Then the letters in row <i>d</i> -column <i>c</i> and in row <i>a</i> column <i>e</i> must be the same. -</ul> -<p> -To place a letter, click in a square to select it, then type the -letter on the keyboard. To erase a letter, click to select a square -and then press Backspace. -<p> -Right-click in a square and then type a letter to add or remove the -number as a pencil mark, indicating letters that you think -<em>might</em> go in that square. -<p> -You can rearrange the order of elements in the rows and columns by -dragging the column or row headings back and forth. (The rows and -columns will stay in sync with each other.) Also, -left-clicking <em>between</em> two row or column headings will add or -remove a thick line between those two rows and the corresponding pair -of columns (which is useful if you're considering a subgroup and its -cosets). |