Uçgun, F.Ç.Esen, O.Sütlü, S.2024-07-122024-07-1220229.78074E+120094-243X10.1063/5.01148792-s2.0-85142502010https://doi.org/10.1063/5.0114879https://hdl.handle.net/20.500.12415/74555th International Conference of Mathematical Sciences, ICMS 2021 -- 23 June 2021 through 27 June 2021 -- -- 184127We present the second-order tangent group of a Lie group as a cocycle extension of the first-order tangent group. We exhibit matching of the second-order tangent groups of two mutually interacting Lie groups. We examine the cocycle extension character of the matched second-order group and arrive at that matched pair of cocycle extensions is a cocycle extension by itself. © 2022 American Institute of Physics Inc.. All rights reserved.eninfo:eu-repo/semantics/openAccessCocycle ExtensionsMatched PairsSecond Tangent GroupConference ObjectN/A2483