Word maps have large image
نویسندگان
چکیده
منابع مشابه
N ov 2 00 2 WORD MAPS HAVE LARGE IMAGE
An element w in the free group on r letters defines a map fw,G: G r → G for each group G. In this note, we show that whenever w 6= 1 and G is a semisimple algebraic group, fw,G is dominant. As an application, we show that for fixed w and Γi a sequence of pairwise non-isomorphic finite simple groups, lim i→∞ log |Γi| log |f w,Γi (Γ r i )| = 1. Let Fr be the free group on r generators x1, . . . ,...
متن کاملA pr 2 00 4 WORD MAPS HAVE LARGE IMAGE
An element w in the free group on r letters defines a map fw,G: G r → G for each group G. In this note, we show that whenever w 6= 1 and G is a semisimple algebraic group, fw,G is dominant. As an application, we show that for fixed w and Γi a sequence of pairwise non-isomorphic finite simple groups, lim i→∞ log |Γi| log |f w,Γi (Γ r i )| = 1. Let Fr be the free group on r generators x1, . . . ,...
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Let M be a map on a surface S. The edge-width of M is the length of a shortest non-contractible cycle of M . The face-width (or, representativity) of M is the smallest number of intersections a noncontractible curve in S has with M . (The edge-width and face-width of a planar map may be de ned to be in nity.) A map is an LEW-embedding if its maximum face valency is less than its edge-width. For...
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Word spotting is to make searchable unindexed image documents by locating word/words in a doc-ument image, given a query word. This problem is challenging, mainly due to the large numberof word classes with very small inter-class and substantial intra-class distances. In this paper, asegmentation-based word spotting method is presented for multi-writer Persian handwritten doc-...
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Drawing on studies of humans, rodents, birds and arthropods, I show that 'cognitive maps' have been used to describe a wide variety of spatial concepts. There are, however, two main definitions. One, sensu Tolman, O'Keefe and Nadel, is that a cognitive map is a powerful memory of landmarks which allows novel short-cutting to occur. The other, sensu Gallistel, is that a cognitive map is any repr...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2004
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02787545