Abstract
Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).
| Original language | English |
|---|---|
| Pages (from-to) | 68-76 |
| Number of pages | 9 |
| Journal | Journal of Algebra |
| Volume | 470 |
| DOIs | |
| Publication status | Published - Jan 15 2017 |
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Keywords
- Burnside ring
- Green ring functor
- Mackey functor
ASJC Scopus subject areas
- Algebra and Number Theory
Cite this
Direct limits and inverse limits of Mackey functors. / Morimoto, Masaharu.
In: Journal of Algebra, Vol. 470, 15.01.2017, p. 68-76.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Direct limits and inverse limits of Mackey functors
AU - Morimoto, Masaharu
PY - 2017/1/15
Y1 - 2017/1/15
N2 - Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).
AB - Let G be a finite group, S the subgroup category of G, and M a Mackey functor on G. For full subcategories G and H of S, we have the direct limit M⁎(G) and the inverse limit M⁎(H) of M. In this paper we study relation between the canonical homomorphisms ind:M⁎(G)→M(G) and res:M(G)→M⁎(H).
KW - Burnside ring
KW - Green ring functor
KW - Mackey functor
UR - http://www.scopus.com/inward/record.url?scp=84987941639&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84987941639&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2016.09.002
DO - 10.1016/j.jalgebra.2016.09.002
M3 - Article
AN - SCOPUS:84987941639
VL - 470
SP - 68
EP - 76
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
ER -