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Group test: Permutations with concatenation: We check whether the set of n-ary permutations with concatenation as the operation is a group.
spektrum.de/video/christian-spannagel-gruppentest-permutationen-mit-der-verkettung/2266030
Group test: Permutations with concatenation
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Group test: Linear real functions with concatenation: We check whether the set of linear real functions with concatenation as the operation is a group.
spektrum.de/video/christian-spannagel-lineare-reelle-funktionen-mit-der-verkettung/2266033
Group test: Linear real functions with concatenation
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Group test: 2x2 matrices with matrix addition.: We prove that the set of 2x2 matrices of real numbers with matrix addition as the operation is an abelian group.
spektrum.de/video/christian-spannagel-gruppentest-2x2-matrizen-mit-der-matrixaddition/2265583
Group test: 2x2 matrices with matrix addition.