A PARTIAL ORDER ON THE ORTHOGONAL GROUP
نویسندگان
چکیده
منابع مشابه
A note on the order graph of a group
The order graph of a group $G$, denoted by $Gamma^*(G)$, is a graph whose vertices are subgroups of $G$ and two distinct vertices $H$ and $K$ are adjacent if and only if $|H|big{|}|K|$ or $|K|big{|}|H|$. In this paper, we study the connectivity and diameter of this graph. Also we give a relation between the order graph and prime graph of a group.
متن کاملa note on the order graph of a group
the order graph of a group $g$, denoted by $gamma^*(g)$, is a graph whose vertices are subgroups of $g$ and two distinct vertices $h$ and $k$ are adjacent if and only if $|h|big{|}|k|$ or $|k|big{|}|h|$. in this paper, we study the connectivity and diameter of this graph. also we give a relation between the order graph and prime graph of a group.
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2002
ISSN: 0092-7872,1532-4125
DOI: 10.1081/agb-120005817