TC algorithm operations are right-coset

[aidevnn]

FastGoat/FastGoat/ToddCoxeter/OpsTable.cs

Lines 167 to 174 in 1f4a19f

	public IEnumerable<char> Rewrite(IEnumerable<char> w)
	{
	if (!w.Select(char.ToLower).All(generators.Contains))
	throw new GroupException(GroupExceptionType.GroupDef);
	var symbol = w.Reverse().Select(c => new Generator(c)).Aggregate(Symbol.One, (i, g) => opsTable[new OpKey(i, g)]);
	return elementsTable[symbol];
	}

In the algorithm, all operations are right coset, (1).a = (2), where (1) and (2) are classes, H.a = K. In every other part, operations are from left x.H = K, this is why a word is reversed before being rewrited.

FastGoat/FastGoat/ILeftCoset.cs

Lines 3 to 7 in 1f4a19f

	public interface ILeftCoset<out T> where T : struct, IElt<T>
	{
	T X { get; }
	IEnumerable<T> xH { get; }
	}

Fixing this issue will need to rewrite all the namespace ToddCoxeter.