Ancient solutions on bundles with non-abelian structural group

Higgs Bundles and Non-abelian Hodge Theory

Heterotic Vacua from general (non-) Abelian Bundles

We report on the construction of four-dimensional string vacua by considering general abelian and nonabelian bundles on an internal Calabi-Yau for both heterotic theories. The structure of the resulting gauge sector is extremely rich and gives rise to many new model building possibilities. We analyse the chiral spectrum including the contribution from heterotic five-branes and provide the gener...

On non-Abelian group difference sets

This paper is motivated by R. H. Bruck’s paper[3], in which he proved that the existence of cyclic projective plane of order n ≡ 1 (mod 3) implies that of a non-planar difference set of the same order by proving that such a cyclic projective plane admits a regular non-Abelian automorphism group using n as a multiplier. In this paper we will discuss in detail the possibility of using multipliers...

On Irreducible Sextics with Non-abelian Fundamental Group

We calculate the fundamental groups π = π1(P rB) for all irreducible plane sextics B ⊂ P2 with simple singularities for which π is known to admit a dihedral quotient D10. All groups found are shown to be finite, two of them being of large order: 960 and 21600.

THE AUTOMORPHISM GROUP OF NON-ABELIAN GROUP OF ORDER p^4

Let G be a finite non-abelian group of order p^4 . In this paper we give a structure theorem for the Sylow p-subgroup, Aut_p(G)  , of the automorphism group of G.