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Q is said to be tightly embedded if |Q intersection Q^g| is odd for all g in G-N_G(Q), where N_G(Q) is the normalizer of Q in G.

The Tits group is a group of order 17971200. It is implemented in the Wolfram Language as TitsGroupT[].

A relation R on a set S is transitive provided that for all x, y and z in S such that xRy and yRz, we also have xRz.

The p-layer of H, L_(p^')(H) is the unique minimal normal subgroup of H which maps onto E(H/O_(p^')(H)).

X is a p^'-group if p does not divide the group order of X.

A field K is said to be an extension field (or field extension, or extension), denoted K/F, of a field F if F is a subfield of K. For example, the complex numbers are an ...

An operator A^~ such that A^~^2=A^~ or an element of an algebra x such that x^2=x.

A birotunda in which the bases are in the same orientation.

If the Lexis ratio L<1, a set of trials are said to be subnormal.

Let the difference of successive primes be defined by d_n=p_(n+1)-p_n, and d_n^k by d_n^k={d_n for k=1; |d_(n+1)^(k-1)-d_n^(k-1)| for k>1. (1) N. L. Gilbreath claimed that ...