#abelian

[b0ringasfuck]

L’alcool è commutativo

Mi sono schiantato in bici e per un po’ non posso andarci (almeno, non con quella da strada e non su distanze di decine di Km).

Mi consolo con l’alcool: Laphroaig Port wood.

Don’t drink then drive when you can drive then drink.

Per la cronaca, preferisco il più economico Laphroaig 10 years.

[isomorphismes]

As a topological group, an abelian variety is just a torus. Every continuous basepoint-preserving map between tori is homotopic to a homomorphism. But the rigidity of algebraic geometry takes us further, letting us replace ‘homotopic’ by ‘equal’.

John Baez and Qiaochu Yuan

[mathnerdlife]

Ah yes. I can prove a group is Abelian but also say 38-1=36. This is my life folks. 😂

[sciencesolutions]

[x-math-xxxx]

[ijtsrd]

A Classification of Groups of Small Order upto Isomorphism

by Ezenwobodo Somkene Samuel "A Classification of Groups of Small Order upto Isomorphism"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-4 , June 2020,

URL: https://www.ijtsrd.com/papers/ijtsrd31139.pdf

Paper Url :https://www.ijtsrd.com/mathemetics/algebra/31139/a-classification-of-groups-of-small-order-upto-isomorphism/ezenwobodo-somkene-samuel

ugcjournallist, listofugcapprovedjournals, researchpublication

Here we classified groups of order less than or equal to 15. We proved that there is only one group of order prime up to isomorphism, and that all groups of order prime P are abelian groups. This covers groups of order 2,3,5,7,11,13"¦.Again we were able to prove that there are up to isomorphism only two groups of order 2p, where p is prime and p=3, and this is Z 2p Z 2 x Z p. Where Z represents cyclic group , and D p the dihedral group of the p gon . This covers groups of order 6, 10, 14"¦.. And we proved that up to isomorphism there are only two groups of order P2. And these are Z p 2 and Z p x Z p. This covers groups of order 4, 9"¦..Groups of order P3 was also dealt with, and we proved that there are up to isomorphism five groups of order P3. Which areZ p 3 , Z p 2 x Z p, Z p x Z p x Z p, D p 3 and Q p 3 . This covers for groups of order 8"¦ Sylow's theorem was used to classify groups of order pq, where p and q are two distinct primes. And there is only one group of such order up to isomorphism, which is Z pq Z p x Z q. This covers groups of order 15"¦ Sylow's theorem was also used to classify groups of order p 2 q and there are only two Abelian groups of such order which are Zp2q and Z p x Z p x Z q. This covers order 12. Finally groups of order one are the trivial groups. And all groups of order 1 are abelian because the trivial subgroup of any group is a normal subgroup of that group.