Tags » Group Theory
Ups and downs. It’s been such an eventful week. So much happened that made me rethink my time schedule.
The following code will prepare a list of two by two matrices over Z_2 and will show the group multiplication in it. Copy paste the code to a SageMath cell and try! 180 more words
I had a chill day thinking about math today without any pressure whatsoever. First I figured out, calculating inductively, that the order of is . You calculate the number of -tuples of column vectors linear independent and from there derive as the number of vectors that cannot be appended if linear independence is to be preserved. 693 more words
My friend after some time in industry is back in school, currently taking graduate algebra. I was today looking at one of his homework and in particular, I thought about and worked out one of the problems, which is to prove the uniqueness part of the Jordan-Hölder theorem. 138 more words