التفاصيل البيبلوغرافية
| العنوان: |
Monomial G-posets and their Lefschetz invariants. |
| المؤلفون: |
Bouc, Serge1 serge.bouc@u-picardie.fr, Mutlu, Hatice1,2 hatice.mutlu@bilkent.edu.tr |
| المصدر: |
Journal of Algebra. Jun2019, Vol. 527, p399-436. 38p. |
| مصطلحات موضوعية: |
*PICARD-Lefschetz theory, *PARTIALLY ordered sets, *FINITE groups, *HOMOMORPHISMS, *INVARIANTS (Mathematics), *BURNSIDE rings |
| مستخلص: |
Abstract Let G be a finite group, and C be an abelian group. We introduce the notions of C -monomial G -sets and C -monomial G -posets, and state some of their categorical properties. This gives in particular a new description of the C -monomial Burnside ring B C (G). We also introduce Lefschetz invariants of C -monomial G -posets, which are elements of B C (G). These invariants allow for a definition of a generalized tensor induction multiplicative map T U , λ : B C (G) → B C (H) associated to any C -monomial (G , H) -biset (U , λ) , which in turn gives a group homomorphism B C (G) × → B C (H) × between the unit groups of C -monomial Burnside rings. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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