منابع مشابه
Efficient Simple Groups
We prove that the simple group L3(5) which has order 372000 is efficient by providing an efficient presentation for it. This leaves one simple group with order less than one million, S4(4) which has order 979200, whose efficiency or otherwise remains to be determined.
متن کاملall simple groups with order from 1 million to 5 million are efficient
there is much interest in finding short presentations for the finite simple groups. indeed it has been suggested that all these groups are efficient in a technical sense. in previous papers we produced nice efficient presentations for all except one of the simple groups with order less than one million. here we show that all simple groups with order between $1$ million and $5$ ...
متن کاملFinite Permutation Groups and Finite Simple Groups
In the past two decades, there have been far-reaching developments in the problem of determining all finite non-abelian simple groups—so much so, that many people now believe that the solution to the problem is imminent. And now, as I correct these proofs in October 1980, the solution has just been announced. Of course, the solution will have a considerable effect on many related areas, both wi...
متن کاملSimple groups of finite
The Algebraicity Conjecture treats model-theoretic foundations of algebraic group theory. It states that any simple group of finite Morley rank is an algebraic group over an algebraically closed field. In the mid-1990s a view was consolidated that this project falls into four cases of different flavour: even type, mixed type, odd type, and degenerate type. This book contains a proof of the conj...
متن کاملC-Characteristically Simple Groups
Let G be a group and let Autc(G) be the group of central automorphisms of G. We say that a subgroup H of a group G is c-characteristic if α(H) = H for all α ∈ Autc(G). We say that a group G is c-characteristically simple group if it has no non-trivial c-characteristic subgroup. If every subgroup of G is c-characteristic then G is called co-Dedekindian group. In this paper we characterize c-char...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2002
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120013342