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--- book:chap2:2.3_groups [2023/10/22 12:46] – [2.3.3 Self Test] jv
+++ book:chap2:2.3_groups [2023/10/22 12:53] (current) – jv
@@ Line 32: / Line 32: @@
   * **a) **  The set is //closed//:  $\quad \forall g_1, g_2 \in G : g_1 \circ g_2 \in G$.
   * **b) **  The set has a //neutral element//:  $\quad \exists e \in G \; \forall g \in G: e \circ g = g$.
-  * **c) **  Each element has an //inverse element//:   $\quad \forall g \in G \; \exists i \in G : g \circ i = e$.
+  * **c) **  Each element has an //inverse element//:   $\quad \forall g \in G \; \exists i \in G : i \circ g = e$.
   * **d) **  The operation $\circ$ is //associative//:   $\quad \forall g_1, g_2, g_3 \in G : ( g_1 \circ g_2 ) \circ g_3 = g_1 \circ ( g_2 \circ g_3 )$.
 </WRAP>
@@ Line 176: / Line 176: @@
 Figure 2.7: Reflections of equilateral triangle with respect to the three symmetry axes form a group with six elements; see [[#problem_27 |Problem 2.7]].
 \\
-Watch out: in this figure the operations are carried out from left to right, i.e.
+**Watch out:** in this figure the operations are carried out from left to right:
-— in contrast to the convention introduced in the beginning of the present section —
+$ab$ refers here to $b$ after $a$, in contrast to the convention introduced in the beginning of the present section.
-$ab$ refers to $b$ after $a$.
 </WRAP>