an:00809192
Zbl 0836.16029
N??st??sescu, C.; Van Oystaeyen, Fred; Zhou, Borong
Smash products for \(G\)-sets, Clifford theory and duality theorems
EN
Bull. Belg. Math. Soc. - Simon Stevin 2, No. 4, 389-398 (1995).
00028972
1995
j
16W50 16S40 16D90 16W20
duality theorems; smash products for \(G\)-sets; graded Clifford theory; \(G\)-set gradations
Motivated by the study of Clifford theory and duality theorems, the authors develop the theory of smash products for \(G\)-sets, where \(G\) is a group. They extend \textit{E. Dade}'s graded Clifford theory [J. Reine Angew. Math. 369, 40-86 (1986; Zbl 0583.16001)] to the case of \(G\)-set gradations and they also obtain a duality theorem which extends a result of \textit{M. Beattie} [J. Algebra 115, 303-312 (1988; Zbl 0647.16010)].
J.L.G??mez-Pardo (Santiago de Compostela)
Zbl 0583.16001; Zbl 0647.16010