Induction for Finite-Groups Revisited

Bak A (1995)
Journal of Pure and Applied Algebra 104(3): 235-241.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
Let G be a finite group and I(G) a nonempty family of subgroups of G, which is closed under conjugation and taking subgroups of its members. Let F be a Green ring functor on G. Let a be the Burnside ring functor on G and let Q(F), denote the image of the canonical natural transformation Omega --> F. Suppose that for each subgroup H subset of G, every Z-torsion element of Omega(F)(H) is nilpotent. Then the following are equivalent: (1) F is I(G)-hypercomputable; (2) Omega(F) is I(G)-hypercomputable; (3) The restriction homomorphism Res(I(G))(G) (Q x F): Q x(z) F(G) --> Pi(H is an element of I(G)) Q x(z) F(H) is injective; (4) the induction homomorphism Ind(I(G))(G) (Q x F):coproduct (H is an element of I(G)) Q x(z) F(H) --> Q x(z) F(G) is surjective.
Erscheinungsjahr
Zeitschriftentitel
Journal of Pure and Applied Algebra
Band
104
Ausgabe
3
Seite(n)
235-241
ISSN
PUB-ID

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Bak A. Induction for Finite-Groups Revisited. Journal of Pure and Applied Algebra. 1995;104(3):235-241.
Bak, A. (1995). Induction for Finite-Groups Revisited. Journal of Pure and Applied Algebra, 104(3), 235-241. doi:10.1016/0022-4049(94)00137-5
Bak, A. (1995). Induction for Finite-Groups Revisited. Journal of Pure and Applied Algebra 104, 235-241.
Bak, A., 1995. Induction for Finite-Groups Revisited. Journal of Pure and Applied Algebra, 104(3), p 235-241.
A. Bak, “Induction for Finite-Groups Revisited”, Journal of Pure and Applied Algebra, vol. 104, 1995, pp. 235-241.
Bak, A.: Induction for Finite-Groups Revisited. Journal of Pure and Applied Algebra. 104, 235-241 (1995).
Bak, Anthony. “Induction for Finite-Groups Revisited”. Journal of Pure and Applied Algebra 104.3 (1995): 235-241.