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Lokal endliche Quasikörper. (Locally finite quasi-fields). (German) Zbl 0715.12007
München: Techn. Hochsch. München, Fak. f. Mathematik und Informatik, Diss. 115 S. (1990).
This dissertation is probably the first systematic study of locally finite quasi-fields, apart from the classification of locally finite near-fields by S. Dancs Groves [Abh. Math. Semin. Univ. Hamb. 48, 89-107 (1979; Zbl 0413.12028)]. The author constructs and investigates large classes of locally finite (generalized) André quasi-fields, thus extending results of D. A. Foulser [Math. Z. 100, 380-395 (1967; Zbl 0152.189)]. It is not known if there exist uncountable locally finite quasi-fields.
Reviewer: Th.Grundhöfer

MSC:
12K99 Generalizations of fields
51E15 Finite affine and projective planes (geometric aspects)
51A40 Translation planes and spreads in linear incidence geometry
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