Some Lie rings associated with Burnside groups
نویسندگان
چکیده
منابع مشابه
2-Groups, 2-Characters, and Burnside Rings
We study 2-representations, i.e. actions of 2-groups on 2-vector spaces. Our main focus is character theory for 2-representations. To this end we employ the technique of extended Burnside rings. Our main theorem is that the Ganter-Kapranov 2-character is a particular mark homomorphism of the Burnside ring. As an application we give a new proof of Osorno formula for the Ganter-Kapranov 2-charact...
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We discuss the Picard group, the Grothendieck ring, and the Burnside ring of a symmetric monoidal category, and we consider examples from algebra, homological algebra, topology, and algebraic geometry. In October, 1999, a small conference was held at the University of Chicago in honor of Saunders Mac Lane’s 90th birthday. I gave a talk there based on a paper that I happened to have started writ...
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1 Let G be a finite group. The Burnside ring B(G) of the group G is one of the fundamental representation rings of G, namely the ring of permutation representations. It is in many ways the universal object to consider when looking at the category of G-sets. It can be viewed as an analogue of the ring Z of integers for this category. It can be studied from different points of view. First B(G) is...
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In this note we survey results in recent research papers on the use of Lie groups in the study of partial differential equations. The focus will be on parabolic equations, and we will show how the problems at hand have solutions that seem natural in the context of Lie groups. The research is joint with D.W. Robinson, as well as other researchers who are listed in the references.
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In this paper, I describe the structure of the biset functor B sending a p-group P to the group of units of its Burnside ring B(P ). In particular, I show that B is a rational biset functor. It follows that if P is a p-group, the structure of B(P ) can be read from a genetic basis of P : the group B(P ) is an elementary abelian 2-group of rank equal to the number isomorphism classes of rational...
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ژورنال
عنوان ژورنال: Electronic Research Announcements of the American Mathematical Society
سال: 1998
ISSN: 1079-6762
DOI: 10.1090/s1079-6762-98-00039-0