We provide characterizations of -nilpotency for fusion systems and -local finite groups that are inspired by known result for finite groups. In particular, we generalize criteria by Atiyah, Brunetti, Frobenius, Quillen, Stammbach and Tate.
机构:
Francisk Skorina Gomel State Univ, Fac Math & Technol Programming, Gomel 246019, BELARUSFrancisk Skorina Gomel State Univ, Fac Math & Technol Programming, Gomel 246019, BELARUS
Murashka, Viachaslau, I
Vasil'ev, Alexander F.
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Francisk Skorina Gomel State Univ, Fac Math & Technol Programming, Gomel 246019, BELARUSFrancisk Skorina Gomel State Univ, Fac Math & Technol Programming, Gomel 246019, BELARUS
机构:
Univ Bologna, Dipartimento Matemat, Piazza Porta San Donato 5, I-40126 Bologna, ItalyUniv Padua, Dipartimento Ingn Informaz, Via G Gradenigo 6-B, I-35121 Padua, Italy