Log24

Wednesday, January 13, 2021

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Filed under: General — m759 @ 12:38 PM

From a post of January 8, 2021

“Somehow, a message had been lost on me. Groups act .
The elements of a group do not have to just sit there,
abstract and implacable; they can do  things, they can
‘produce changes.’ In particular, groups arise
naturally as the symmetries of a set with structure.”

— Thomas W. Tucker, review of Lyndon’s Groups and Geometry
in The American Mathematical Monthly , Vol. 94, No. 4
(April 1987), pp. 392-394.

Note:
The phrase “the subgroup V” here refers, confusingly, to the translation
subgroup  derived from a vector space  V.

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