We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the ...

Continuing our previous work (Park, 2010) [2], we determine a minimal left characteristic biset X for every exotic fusion system FF on the extraspecial group S of order 73 and exponent 7 discovered by Ruiz and Viruel (2004) ...

We prove analogues of results of Glauberman and Thompson for fusion systems. As a corollary, we obtain a stronger form of Frobenius' theorem for fusion systems, applicable under the above assumptions and generalizing another ...

[no abstract available]

We answer the gluing problem of blocks of finite groups (Linckelmann (2004) [7, 4.2]) for tame blocks and the principal p-block of PSL 3 ( p ) for p odd. In particular, we show that the gluing problem for the principal ...

We extend the results of David Goldschmidt's thesis concerning fusion in finite groups to saturated fusion systems and to all primes.

We show that every saturated fusion system can be realized as a full subcategory of the fusion system of a finite group. The result suggests the definition of an 'exoticity index' and raises some other questions which we discuss.

We prove analogues of results of Tate and Yoshida on control of transfer for fusion systems. This requires the notions of p-group residuals and transfer maps in cohomology for fusion systems. As a corollary, we obtain a ...