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.

Generalized Involution Models of Projective Reflection Groups / Fabrizio Caselli; Eric Marberg. - STAMPA. - 12:(2015), pp. 19-23. [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.
2015
Combinatorial methods in topology and algebra
19
23
Generalized Involution Models of Projective Reflection Groups / Fabrizio Caselli; Eric Marberg. - STAMPA. - 12:(2015), pp. 19-23. [10.1007/978-3-319-20155-9]
Fabrizio Caselli; Eric Marberg
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/585374
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact