The main motivation of this work was to investigate the generalized involution models of the projective reflection groups G(r; p; q; n). This family of groups parametrizes all quotients of the complex reflection groups G(r; p; n) by scalar subgroups. Our classification is ultimately incomplete, but we provide several necessary and sufficient conditions for generalized involution models to exist in various cases. In the process we have been led to consider and solve several intermediate problems concerning the structure of projective reflection groups.
Fabrizio Caselli, Eric Marberg (2015). Generalized Involution Models of Projective Reflection Groups. Cham : Springer [10.1007/978-3-319-20155-9].
Generalized Involution Models of Projective Reflection Groups
CASELLI, FABRIZIO;
2015
Abstract
The main motivation of this work was to investigate the generalized involution models of the projective reflection groups G(r; p; q; n). This family of groups parametrizes all quotients of the complex reflection groups G(r; p; n) by scalar subgroups. Our classification is ultimately incomplete, but we provide several necessary and sufficient conditions for generalized involution models to exist in various cases. In the process we have been led to consider and solve several intermediate problems concerning the structure of projective reflection groups.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
