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For a finite group of h elements with an n_ith dimensional ith irreducible representation, sum_(i)n_i^2=h.

The sporadic group HJ, also denoted J_2.

The function lambda(n)=(-1)^(Omega(n)), (1) where Omega(n) is the number of not necessarily distinct prime factors of n, with Omega(1)=0. The values of lambda(n) for n=1, 2, ...

Combine the two above squares on the left into the single large square on the right.

A finite group L is quasisimple if L=[L,L] and L/Z(L) is a simple group.

A property of finite simple groups which is known for all such groups.

B_(p+k)=B_k+B_(k+1) (mod p), when p is prime and B_n is a Bell number.

The generalization of a Voronoi polygon to n dimensions for n>2.

A Wagstaff prime is a prime number of the form (2^p+1)/3 for p a prime number. The first few are given by p=3, 5, 7, 11, 13, 17, 19, 23, 31, 43, 61, 79, 101, 127, 167, 191, ...

How can a delegation of six regiments, each of which sends a colonel, a lieutenant-colonel, a major, a captain, a lieutenant, and a sub-lieutenant be arranged in a regular ...