On Block Monoid Atomic Structure
نویسندگان
چکیده
Several properties of atoms of block monoids are developed. We count the number of atoms of small cardinality. We also develop various properties of atoms of maximal cardinality (the Davenport constant). We use these properties to find new bounds on the Davenport constant both in general and for several important classes of groups. We also determine the Davenport constant (with computer assistance) for a variety of specific groups.
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تاریخ انتشار 2005