The New Encyclopædia BritannicaEncyclopædia Britannica, 1983 - Encyclopedias and dictionaries |
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Page 528
... groups asserts that a finitely generated Abelian group G = ( x1 , ... , xn ) is the direct product G C1 X C2 X X Cm of cyclic groups C ; ( c ) in which m≤n . This representation is not unique , because , for example , the cyclic group ...
... groups asserts that a finitely generated Abelian group G = ( x1 , ... , xn ) is the direct product G C1 X C2 X X Cm of cyclic groups C ; ( c ) in which m≤n . This representation is not unique , because , for example , the cyclic group ...
Page 532
... groups Advan- tages of the ( 4,7 ) - code. ( GF ( 4 ) , 1 + 1 = 0 , \ u2 = u ÷ 1 , u + u = 0 u ( u + 1 ) = 1 M 24.32.5.11 11 M12 26.23.5.11 Mathieu groups : M22 27.32.5.7.11 M23 27.32.5.7.11.23 M24 210.33.5.7.11.23 23.3.5.7 . 11. 19 ...
... groups Advan- tages of the ( 4,7 ) - code. ( GF ( 4 ) , 1 + 1 = 0 , \ u2 = u ÷ 1 , u + u = 0 u ( u + 1 ) = 1 M 24.32.5.11 11 M12 26.23.5.11 Mathieu groups : M22 27.32.5.7.11 M23 27.32.5.7.11.23 M24 210.33.5.7.11.23 23.3.5.7 . 11. 19 ...
Page 755
... groups and Lie groups . The applications of the theory of group representations to mathematical analysis and to physics entail , for the most part , the de- scription of the representations of infinite groups that have a topological ...
... groups and Lie groups . The applications of the theory of group representations to mathematical analysis and to physics entail , for the most part , the de- scription of the representations of infinite groups that have a topological ...
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