A First Step Toward the Classification of Fischer Groups

François Zara
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François Zara: Université de Picardie, UFR de Mathématiques

A chapter in Geometries and Groups, 1988, pp 503-512 from Springer

Abstract: Abstract If G is a finite group, a subset D of G Is called a “Fischer set” of G (or a set of “3-transpositions of G”) if the following conditions are satisfied: (1) G = ; (2) each element of D is an involution; (3) if d and e are two distinct elements of D, then de is of order 2 or 3; (4) D is an union of conjugacy classes of G.

Keywords: Finite Group; Conjugacy Class; Simple Group; Weyl Group; Minimal Normal Subgroup (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-94-009-4017-8_18

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