Now showing items 1-5 of 5

• #### Cohomology of infinite groups realizing fusion systems ﻿

(Springer, 2019-06)
Given a fusion system FF defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize FF. We study these models when FF is a fusion system of a finite group G and ...
• #### Cohomology of infinite groups realizing fusion systems ﻿

(Bilkent University, 2019-09)
Given a fusion system F defined on a p-group S, there exist infinite group models, constructed by Leary and Stancu, and Robinson, that realize F. We study these models when F is a fusion system of a finite group G. If ...
• #### Higher limits over the fusion orbit category ﻿

(Elsevier, 2022-06-09)
The fusion orbit category F‾C(G) of a discrete group G over a collection C is the category whose objects are the subgroups H in C, and whose morphisms H→K are given by the G-maps G/H→G/K modulo the action of the centralizer ...
• #### An observation on the module structure of block algebras ﻿

(Taylor & Francis, 2019-05-26)
Let B be a p-block of the finite group G. We observe that the p-fusion of G constrains the module structure of B: Any basis of B that is closed under the left and right multiplications of a chosen Sylow p-subgroup S of G ...
• #### On the basis of the burnside ring of a fusion system ﻿

(Elsevier, 2015)
We consider the Burnside ring A(F) of F-stable S-sets for a saturated fusion system F defined on a p-group S. It is shown by S.P. Reeh that the monoid of F-stable sets is a free commutative monoid with canonical basis {αP}. ...