منابع مشابه
The classification of quasithin groups I
In 1983, Danny Gorenstein announced the completion of the Classification of the Finite Simple Groups. This announcement was somewhat premature. The Classification of the Finite Simple Groups was at last completed with the publication in 2004 of the two monographs under review here. These volumes, classifying the quasithin finite simple groups of even characteristic, are a major milestone in the...
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For any root system and any commutative ring, we give a relatively simple presentation of a group related to its Steinberg group St. This includes the case of infinite root systems used in Kac–Moody theory, for which the Steinberg group was defined by Tits and Morita–Rehmann. In most cases, our group equals St, giving a presentation with many advantages over the usual presentation of St. This e...
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A nitely presented group G is called metabolic if H 2 (1) (G; A) = 0 for all normed abelian coeecient groups A; it is equivalent to require that a Cayley graph for G admit a thin combing. Metabolicity is stronger than hyperbolicity, and it is an open problem whether all hyperbolic groups are metabolic. We prove that if H is metabolic, then H ha;b]i F(a; b) is also metabolic, where F(a;b) is fre...
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In this paper we will prove analogues of B. Maier’s characterization of weak and strong embeddability of amalgams in N2 [12, 13] for the subvarieties of N2. We will also give analogues of D. Saracino’s characterization of weak and strong amalgamation bases [17], the author’s work on dominions [11] and on amalgamation bases in some varieties of nil-2 groups [8, 9]. Definitions will be recalled b...
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ژورنال
عنوان ژورنال: Japanese journal of mathematics. New series
سال: 1991
ISSN: 0289-2316,1861-3624
DOI: 10.4099/math1924.17.203