Moufang lines defined by (generalized) Suzuki groups
نویسندگان
چکیده
منابع مشابه
Groups defined by automata
Finite automata have been used effectively in recent years to define infinite groups. The twomain lines of research have as their most representative objects the class of automatic groups (in-cluding word-hyperbolic groups as a particular case) and automata groups (singled out among themore general self-similar groups).The first approach implements in the language of automat...
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Generalized Lie-Cartan theorem for linear birepresentations of an analytic Moufang loop is considered. The commutation relations of the generators of the birepresentation are found. In particular, the Lie algebra of the multiplication group of the birepresentation is explicitly given. 2000 MSC: 20N05, 17D10, 20G05 Dedicated to Maks A. Akivis on the occasion of his 85th birthday and 65 years of ...
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It is known that Moufang loops are closely related to groups as they have many properties in common. For instance, they both have an inverse for each element and satisfy Lagrange’s theorem. In this paper, we study the properties of a class of Moufang loops which are not groups, but all their proper subloops and proper quotient loops are groups.
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2007
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2006.08.002