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Okay, you passed me. I knew I should have pulled out my very old Modern Algebra book. I was thinking in terms of modulo groups. You can show lots of number th
by Sondy 14y ago
Okay, you passed me. I knew I should have pulled out my very old Modern Algebra book. I was thinking in terms of modulo groups. You can show lots of number theory with the sweater, granted that the number on the end is the equivalent of zero. I want a group under multiplication. Is that making any sense?
- gjm11 14y agoIf you want a group under multiplication, the easy options are: (1) Integers modulo a prime number, not counting 0 mod p. (2) Integers modulo anything (call it n), not counting ones that have a common factor with n. (3) Rational numbers. In this case you've got 1..100, and 101 is prime. So the numbers on (the front of) the sweater, mod 101, form a group under multiplication. But of course in that group you lose all the prime-number structure shown on the sweater -- you can't really talk about, say, "multiples of 3 (mod 101)" because 101 isn't a multiple of 3.