Internal groupoid actions and liftings of crossed modules within groups with operations

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AKIZ H. F., MUCUK O., ŞAHAN T.

International Conference of Mathematical Sciences (ICMS), İstanbul, Turkey, 31 July - 06 August 2018, vol.2086, (Full Text)

• Publication Type: Conference Paper / Full Text
• Volume: 2086
• Doi Number: 10.1063/1.5095089
• City: İstanbul
• Country: Turkey
• Open Archive Collection: AVESIS Open Access Collection
• Yozgat Bozok University Affiliated: Yes

Abstract

In this extended abstract we define the notion of lifting of a crossed module in groups with operations and state some properties of this type of liftings. Furthermore for a certain crossed module we give a categorical equivalence between the lifting of crossed modules and internal groupoid actions in groups with operations.