Template:Are You Sure/October 3: Difference between revisions

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[[File:Cayley graph of F2.svg|link=Arthur Cayley (nonfiction)|175px|thumb|A Cayley graph of the free group on two generators ''a'' and ''b''. A Caley graph encodes the abstract structure of a group using a specified, usually finite, set of generators for the group. It is a central tool in combinatorial and geometric group theory.]]
[[File:Cayley graph of F2.svg|link=Arthur Cayley (nonfiction)|175px|thumb|A Caley graph encodes the abstract structure of a group using a specified, usually finite, set of generators for the group.<br>This Cayley graph shows the free group on two generators ''a'' and ''b''.]]


• ... that mathematician [[Arthur Cayley (nonfiction)|Arthur Cayley]] (16 August 1821 – 26 January 1895) was the first to define the concept of a group in the modern way (as a set with a binary operation satisfying certain laws); and that formerly, when mathematicians spoke of "groups", they had meant permutation groups?
• ... that mathematician [[Arthur Cayley (nonfiction)|Arthur Cayley]] (16 August 1821 – 26 January 1895) was the first to define the concept of a group in the modern way (as a set with a binary operation satisfying certain laws); and that formerly, when mathematicians spoke of "groups", they had meant permutation groups?


• ... that mathematician '''[[Robin Farquharson (nonfiction)|Reginald Robin Farquharson]]''' (3 October 1930 – 1 April 1973) worked on [[Game theory (nonfiction)|game theory]] because he was interested in both mathematics and politics;  and that Farquharson's doctoral thesis, which analyzed voting systems, was influential when later published as ''Theory of Voting'' (Oxford: Blackwell, 1970)?
• ... that mathematician '''[[Robin Farquharson (nonfiction)|Reginald Robin Farquharson]]''' (3 October 1930 – 1 April 1973) worked on [[Game theory (nonfiction)|game theory]] because he was interested in both mathematics and politics;  and that Farquharson's doctoral thesis, which analyzed voting systems, was influential when later published as ''Theory of Voting'' (Oxford: Blackwell, 1970)?

Revision as of 09:44, 3 October 2020

A Caley graph encodes the abstract structure of a group using a specified, usually finite, set of generators for the group.
This Cayley graph shows the free group on two generators a and b.

• ... that mathematician Arthur Cayley (16 August 1821 – 26 January 1895) was the first to define the concept of a group in the modern way (as a set with a binary operation satisfying certain laws); and that formerly, when mathematicians spoke of "groups", they had meant permutation groups?

• ... that mathematician Reginald Robin Farquharson (3 October 1930 – 1 April 1973) worked on game theory because he was interested in both mathematics and politics; and that Farquharson's doctoral thesis, which analyzed voting systems, was influential when later published as Theory of Voting (Oxford: Blackwell, 1970)?