THE NUMBER OF CHAINS OF SUBGROUPS OF A FINITE ELEMENTARY ABELIAN p-GROUP
نویسنده
چکیده
The starting point for our discussion is given by the paper [5], where a formula for the number of rooted chains of subgroups of a finite cyclic group is obtained. This leads in [3] to precise expression of the well-known central Delannoy numbers in an arbitrary dimension and has been simplified in [2]. Some steps in order to determine the number of rooted chains of subgroups of a finite elementary abelian p-group are also made in [5]. Moreover, this counting problem has been naturally extended to non-abelian groups in other works, such as [1, 4]. The purpose of the current note is to improve the results of [5], by indicating an explicit formula for the number of rooted chains of subgroups of a finite elementary abelian p-group.
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تاریخ انتشار 2015