منابع مشابه
Some combinatorial aspects of finite Hamiltonian groups
In this paper we provide explicit formulas for the number of elements/subgroups/cyclic subgroups of a given order and for the total number of subgroups/cyclic subgroups in a finite Hamiltonian group. The coverings with three proper subgroups and the principal series of such a group are also counted. Finally, we give a complete description of the lattice of characteristic subgroups of a finite H...
متن کاملsome combinatorial aspects of finite hamiltonian groups
in this paper we provide explicit formulas for the number of elements/subgroups/cyclic subgroups of a given order and for the total number of subgroups/cyclic subgroups in a finite hamiltonian group. the coverings with three proper subgroups and the principal series of such a group are also counted. finally, we give a complete description of the lattice of characteristic subgroups of a finite h...
متن کاملCombinatorial aspects of juggling
This paper examines the relationship between the practice of juggling and mathematics. First an introduction and brief history of juggling is presented, where we highlight some of the notable events and personalities in juggling and mathematical juggling. In Section 2 we discuss some of the ways that mathematical ideas have been used to solve juggling problems. The main contribution in this fie...
متن کاملQuasigroups, right quasigroups and category coverings
The category of modules over a fixed quasigroup in the category of all quasigroups is equivalent to the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of abelian groups. The corresponding equivalent category of coverings, and the generalization to the right quasigroup case, are also described.
متن کاملCombinatorial Aspects of Elliptic Curves
Abstract. Given an elliptic curve C, we study here Nk = #C(Fqk ), the number of points of C over the finite field Fqk . This sequence of numbers, as k runs over positive integers, has numerous remarkable properties of a combinatorial flavor in addition to the usual number theoretical interpretations. In particular we prove that Nk = −Wk(q,−N1) where Wk(q, t) is a (q, t)-analogue of the number o...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1978
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700008030