Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

It is not known whether or not the stable rational cohomology groups H̃* (Aut(F∞); ℚ) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it ...

Tsukuba Journal of Mathematics, Vol. 37, No. 1 (July 2013), pp. 85-119 (35 pages) Let g¹ be the real form of a complex simple Jordan algebra such that the automorphism group is F4(-20). By using some ...