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If a Sylow 2-subgroup T of G lies in a unique maximal 2-local P of G, then P is a "strongly embedded" subgroup of G, and G is known.

A sphere which acts as a model of a spherical (or ellipsoidal) celestial body, especially the Earth, and on which the outlines of continents, oceans, etc. are drawn.

A metric characterizing the difference between two knots K and K^' in S^3.

A graded algebra over the integers Z. Cohomology of a space is a graded ring.

The index set for the collection of submodules in a graded module.

An element of order 2 in a group (i.e., an element A of a group such that A^2=I, where I is the identity element).

A gyrobicupola is a bicupola in which the bases are in opposite orientations.

A birotunda in which the bases are in opposite orientations.

A cupolarotunda in which the bases are in opposite orientations.

Johnson solid J_(24).