Browsing by Author "Barker, Laurence"
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An inversion formula for the primitive idempotents of the trivial source algebra
Barker, Laurence (Elsevier, 2019)Formulas for the primitive idempotents of the trivial source algebra, in characteristic zero, have been given by Boltje and Bouc–Thévenaz. We shall give another formula for those idempotents, expressing them as linear ... 
A new canonical induction formula for ppermutation modules [Une nouvelle formule d'induction canonique pour modules de ppermutation]
Barker, Laurence; Mutlu, Hatice (Elsevier, 2019)Applying Robert Boltje's theory of canonical induction, we give a restrictionpreserving formula expressing any ppermutation module as a Z[1/p]linear combination of modules induced and inflated from projective modules ... 
On contractibility of the Orbit Space of a GPoset of Brauer Pairs
Barker, Laurence (1999)Given apblockbof a finite groupG, we show that theGposet of Brauer pairs strictly containing (1,b) has contractibleGorbit space. A similar result is proved for certainGposets ofpsubgroups. Both results generalise P. ... 
Rhetorical biset functors, rational pbiset functors and their semisimplicity in characteristic zero
Barker, Laurence (Academic Press, 2008)Rhetorical biset functors can be defined for any family of finite groups that is closed under subquotients up to isomorphism. The rhetorical pbiset functors almost coincide with the rational pbiset functors. We show that, ... 
Some deformations of the fibred biset category
Barker, Laurence; Öğüt, İsmail Alperen (TÜBİTAK, 2020)We prove the welldefinedness of some deformations of the fibred biset category in characteristic zero. The method is to realize the fibred biset category and the deformations as the invariant parts of some categories whose ... 
Tornehave morphisms, II : the lifted Tornehave morphism and the dual of the Burnside functor
Barker, Laurence (2010)We introduce the lifted Tornehave morphism tornπ : K → B*, an inflation Mackey morphism for finite groups, π being a set of primes, K the kernel of linearization, and B* the dual of the Burnside functor. For pgroups, tornp ...