WORDS WITH FEW VALUES IN FINITE SIMPLE GROUPS
نویسندگان
چکیده
منابع مشابه
Finite p-groups with few non-linear irreducible character kernels
Abstract. In this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
متن کاملfinite p-groups with few non-linear irreducible character kernels
abstract. in this paper, we classify all of the finite p-groups with at most three non linear irreducible character kernels.
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Let w = w(x1, ..., xd) denote a group word in d variables, that is, an element of the free group of rank d. For a finite group G we may define a word map that sends a d-tuple, (g1, ..., gd) of elements of G, to its w-value, w(g1, ..., gd), by substituting variables and evaluating the word in G by performing all relevant group operations. In this thesis we study a number of problems to do with t...
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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...
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this is a survey article on centralizers of finite subgroups in locally finite, simple groups or lfs-groups as we will call them. we mention some of the open problems about centralizers of subgroups in lfs-groups and applications of the known information about the centralizers of subgroups to the structure of the locally finite group. we also prove the following: let $g$ be...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2012
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/has018