A note on CLT 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...
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let $g$ be a group and $x in g$. the cyclicizer of $x$ is defined to be the subset $cyc(x)=lbrace y in g mid langle x, yrangle ; {rm is ; cyclic} rbrace$. $g$ is said to be a tidy group if $cyc(x)$ is a subgroup for all $x in g$. we call $g$ to be a c-tidy group if $cyc(x)$ is a cyclic subgroup for all $x in g setminus k(g)$, where $k(g)$ is the intersection of all the cyclicizers in ...
متن کاملa note on quasi irresolute topological groups
in this study, we investigate the further properties of quasi irresolute topological groupsde ned in [20]. we show that if a group homomorphism f between quasi irresolute topologicalgroups is irresolute at eg, then f is irresolute on g. later we prove that in a semi-connectedquasi irresolute topological group (g; ; ), if v is any symmetric semi-open neighborhood ofeg, then g is generated by v...
متن کاملA Note on Absolute Central Automorphisms of Finite $p$-Groups
Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study some properties of absolute central automorphisms of a given finite $p$-group.
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...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1968
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1968.27.229