Skip to main content

All Questions

0 votes
0 answers
47 views

Which of partitions of 5 correspond exclusively to even permutations?

I am ultimately want to prove that $A_{5}$ is simple and the first step in doing so is to: $(a)$ Write out all partitions of $5.$ Which of these correspond exclusively to even permutations? I was able ...
user avatar
0 votes
0 answers
88 views

How can we map a partition of $n$ to some permutation of [1,2, ... , n]?

Here is the question I was reading: Does every partition of n correspond to some permutation of [1,2, ... n]? And here is a statement in the answer given there that I want to use: If the partition is $...
user avatar
0 votes
1 answer
117 views

Interpreting the table of classification of the partitions of $n$

I am going through A NON-RECURSIVE EXPRESSION FOR THE NUMBER OF IRREDUCIBLE REPRESENTATIONS OF THE SYMMETRIC GROUP $S_n$ by AMUNATEGUI. In table I, the classification of the partitions of n according ...
Omar Shehab's user avatar