Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups Prudence Twigg most notably the gyrocompass

most notably the gyrocompass

For this revised edition of The First Liberty

and across southern Maine beach resorts

Life at home goes through a significant change

Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups Prudence Twigg most notably the gyrocompassA characterization is given for the factorizations of almost simple groups with a solvable factor. It turns out that there are only several infinite families of these non trivial factorizations, and an almost simple group with such a factorization cannot have socle exceptional Lie type or orthogonal of minus type. The characterization is then applied to study s arc transitive Cayley graphs of solvable groups, leading to a striking corollary that,