Note on n-groups
نویسندگان
چکیده
منابع مشابه
A note on quasi irresolute topological groups
In this study, we investigate the further properties of quasi irresolute topological groups defined in [20]. We show that if a group homomorphism f between quasi irresolute topological groups is irresolute at $e_G$, then $f$ is irresolute on $G$. Later we prove that in a semi-connected quasi irresolute topological group $(G,*,tau )$, if $V$ is any symmetric semi-open neighborhood of $e_G$, then...
متن کاملA note on filled groups
Let G be a finite group and S a subset of G. Then S is product-free if S ∩ SS = ∅, and S fills G if G∗ ⊆ S ∪ SS. A product-free set is locally maximal if it is not contained in a strictly larger product-free set. Street and Whitehead [J. Combin. Theory Ser. A 17 (1974), 219–226] defined a group G as filled if every locally maximal product-free set in G fills G. Street and Whitehead classified a...
متن کاملA Note on Abelian Groups
Vijayaraghavan and Chowla [2] have proved the following result. If n = 2 or has no primitive root, then there exist suitable reduced residue systems ft, r», • • • , f » and Si, s2, ■ ■ ■ , Sh, where h=in), such that riSi, r2s2, • • • , r^Sh is also a complete residue system (mod n). Since the numbers of a reduced residue system (mod n) form an abelian group with respect to multiplication, it...
متن کاملA note on topological groups
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متن کاملA note on superstable groups
It is proved that all groups of finite U -rank that have the descending chain condition on definable subgroups are totally transcendental. A corollary is that any stable group that is definable in an o-minimal structure is totally transcendental of finite Morley rank. Motivation for this paper is a problem concerning stable groups definable in ominimal structures. One theorem is that any defina...
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ژورنال
عنوان ژورنال: Mathematica Moravica
سال: 2002
ISSN: 1450-5932,2560-5542
DOI: 10.5937/matmor0206137u