Geometrical Representation of Automata over Some Abelian Groups
نویسندگان
چکیده
منابع مشابه
Finite Automata Presentable Abelian Groups
We give new examples of FA presentable torsion-free abelian groups. Namely, for every n > 2, we construct a rank n indecomposable torsion-free abelian group which has an FA presentation. We also construct an FA presentation of the group (Z,+) in which every nontrivial cyclic subgroup is not FA recognizable.
متن کاملThe number of Fuzzy subgroups of some non-abelian groups
In this paper, we compute the number of fuzzy subgroups of some classes of non-abeilan groups. Explicit formulas are givenfor dihedral groups $D_{2n}$, quasi-dihedral groups $QD_{2^n}$, generalized quaternion groups $Q_{4n}$ and modular $p$-groups $M_{p^n}$.
متن کاملCOUNTING DISTINCT FUZZY SUBGROUPS OF SOME RANK-3 ABELIAN GROUPS
In this paper we classify fuzzy subgroups of a rank-3 abelian group $G = mathbb{Z}_{p^n} + mathbb{Z}_p + mathbb{Z}_p$ for any fixed prime $p$ and any positive integer $n$, using a natural equivalence relation given in cite{mur:01}. We present and prove explicit polynomial formulae for the number of (i) subgroups, (ii) maximal chains of subgroups, (iii) distinct fuzzy subgroups, (iv) non-isomorp...
متن کاملRepresentation theory of finite abelian groups
Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/repns/notes 2014-15/01 finite abelian.pdf] 1. Simultaneous eigenvectors for finite abelian groups 2. Cancellation lemma, orthogonality of distinct characters 3. Representations of finite abelian groups 4. Fourier expansions on finite abelian groups 5. Appendix: spectral theor...
متن کاملAdditive Decomposability of Functions over Abelian Groups
Abelian groups are classified by the existence of certain additive decompositions of group-valued functions of several variables.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Malaysian Journal of Fundamental and Applied Sciences
سال: 2014
ISSN: 2289-599X,2289-5981
DOI: 10.11113/mjfas.v8n1.119