alternating form

alternating form

[′ȯl·tər‚nād·iŋ ′fȯrm]
(mathematics)
A bilinear form f which changes sign under interchange of its independent variables; that is, f (x, y) = -f (y, x) for all values of the independent variables x and y.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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Keywords: Generalized quadrangle; Moufang condition; skew translation quadrangle; alternating form; special group; p-group; classification; automorphism group
naturally defines a non-singular bilinear alternating form over [F.sub.q] [equivalent to] Z.
Suppose H admits a Kantor family of type ([q.sup.2], q), and suppose x defines a non-singular bilinear alternating form over [F.sub.q].
Classification of skew translation generalized quadrangles, I
Results indicate that the tests vary across these categories, even within alternating forms of the same test.
Spelling knowledge: implications for instruction and intervention

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