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Quadratic functions and $GF(q)$ -groups

Author(s): Christopher Parker; Peter Rowley
Journal: Proc. Amer. Math. Soc. 125 (1997), 2227-2237.
MSC (1991): Primary 20Exx, 20Fxx
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Abstract: Properties of $GF(q)$ -groups are reformulated in terms of quadratic functions and pre-semifields. As a consequence, counter-examples to some earlier results are obtained.

References:

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2.: P. Dembowski, Finite Geometries, Ergebnisse Der Mathematik und Ihre Grenzgebiete, Band 44, Springer-Verlag Berlin Heidelberg New York 1968. MR 38:1597
3.: M. Schönert, et al., GAP (Groups Algorithms and Programming) Version 3.4, RWTH Aachen.
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5.: G. Stroth, Endliche gruppen, die eine Maximale 2-lokale Untergruppe besitzen, so daß $\;\;Z(F^*(M))$ eine TI Menge in ist, J. Alg. 64, 460-528 (1980). MR 81j:20025
6.: F. G. Timmesfeld, A Note on 2-groups of -type, Arch. Math. Vol. 32, 101-108, (1979). MR 80f:20020
7.: F. G. Timmesfeld, private communication, December 1994.


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