Pentactions and action representability in the category of reduced groups with action
Yükleniyor...
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Open Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
A notion of pentaction of any object in the category rGr .{\mathbf{rGr}^{\bullet}} of reduced groups with action is introduced. The operations are defined in the set »e - - ac - (A) {\mathsf{Pentact}(A)} of pentactions of an object A of rGr.{\mathbf{rGr}^{\bullet}}. It is proved that if an object A is perfect with zero weak stabilizer in the sense defined in this paper, then »e-ac-(A) {\mathsf{Pentact}(A)} is an object of rGr. {\mathbf{rGr}^{\bullet}}, it has a derived action on A, the object A is action representable and »e - - ac -(A) {\mathsf{Pentact}(A)} represents all actions on A.
Açıklama
Anahtar Kelimeler
Action Representability, Group with Action, Pentaction
Kaynak
Georgian Mathematical Journal
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
-
Sayı
-
