
Simply Symmetric
... To explain why (prove) its diagonals are equal is also simple and straightforward, with absolutely no need to use any congruency. For example, line segment AC maps onto line segment DB under the reflection around line m; hence AC = DB. If we now further view and classify a rectangle as a special par ...
... To explain why (prove) its diagonals are equal is also simple and straightforward, with absolutely no need to use any congruency. For example, line segment AC maps onto line segment DB under the reflection around line m; hence AC = DB. If we now further view and classify a rectangle as a special par ...
THEOREM 1.1. Let G be a finite sovable group. Let two subgroups U
... In [2], it was shown that Losey-Stonehewer theorm holds without solvability. It is desired to generalize the theorem for infinite groups. In fact we have some generalizations for specific classes of locally finite groups[7]. In this note, we are concerned with profinite groups. 2. Profinite group An ...
... In [2], it was shown that Losey-Stonehewer theorm holds without solvability. It is desired to generalize the theorem for infinite groups. In fact we have some generalizations for specific classes of locally finite groups[7]. In this note, we are concerned with profinite groups. 2. Profinite group An ...
Coxeter notation

In geometry, Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between with fundamental reflections of a Coxeter group in a bracketed notation, with modifiers to indicate certain subgroups. The notation is named after H. S. M. Coxeter, and has been more comprehensively defined by Norman Johnson.