Permutation IAPS
From Apstheory
Contents |
Definition
Symbol-free definition
The permutation IAPS is an IAPS of groups where the Failed to parse (Can't write to or create math temp directory): n^{th}
member is the symmetric group Failed to parse (Can't write to or create math temp directory): S_n
, and where the block concatenation map Failed to parse (Can't write to or create math temp directory): S_m
× Failed to parse (Can't write to or create math temp directory): S_n
→ S_{m+n} is defined as the permutation that permutes the first Failed to parse (Can't write to or create math temp directory): m
symbols according to the left argument and the next Failed to parse (Can't write to or create math temp directory): n
symbols according to the second argument.
Definition with symbols
The permutation IAPS is an IAPS of groups where the Failed to parse (Can't write to or create math temp directory): n^{th}<math> member is <math>S_n
and the block concatenation map Failed to parse (Can't write to or create math temp directory): \\Phi_{m,n}: S_m
× Failed to parse (Can't write to or create math temp directory): S_n
→ Failed to parse (Can't write to or create math temp directory): S_{m+n}
is defined as follows: (fillin)
