Post AVuoneFaonzRFpfpOS by mandlebro@qoto.org
(DIR) More posts by mandlebro@qoto.org
(DIR) Post #AVttoijPwsvK3QzjEG by jeffcliff@shitposter.club
2023-05-22T03:32:20.760174Z
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huh #grouptheory
(DIR) Post #AVuAZftvt8bI9YKBA8 by jeffcliff@shitposter.club
2023-05-22T06:40:13.789958Z
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and i mean by thisIsn't the infinite cyclic groups split up into *different* groups ie 1Z 2Z 3Z 4Z which i guess you could if you just used those would be equivalence classes equivalent to Z_4 but ... 1Z (ie (1)) is not the same thing as Z_4 is not the same thing as ((3) = 3Z)
(DIR) Post #AVuomGVDcxODJOK5oG by jeffcliff@shitposter.club
2023-05-22T14:10:41.965603Z
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unless you start counting at 2Z then prime numbers ... 2Z = 1st unique infinite cyclic group3Z = 2nd unique infinite cyclic group4Z = 3rd unique infinite cyclic groupbut even so
(DIR) Post #AVuoneFaonzRFpfpOS by mandlebro@qoto.org
2023-05-22T12:18:24Z
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@jeffcliff The statement holds in Z_4, not Z. Consider 1 and 3 as elements of Z_4 and consider the groups generated by those elements.
(DIR) Post #AVuoqpX7KI3t7EO6Yi by jeffcliff@shitposter.club
2023-05-22T14:11:31.914010Z
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ohhh