diff --git a/grp/perf.gd b/grp/perf.gd
index 4baa190947..92b1d169c2 100644
--- a/grp/perf.gd
+++ b/grp/perf.gd
@@ -300,7 +300,7 @@ DeclareGlobalFunction("DisplayInformationPerfectGroups");
 ##  <A>factor1</A>, <A>factor2</A>, ...
 ##  among their composition factors.
 ##  <P/>
-##  Each argument must either be the name of a simple group or an integer
+##  Each argument must either be the name of a nonabelian simple group or an integer
 ##  which stands for the product of the sizes of one or more cyclic factors.
 ##  (In fact, the function replaces all integers among the arguments
 ##  by their product.)
diff --git a/grp/simple.gd b/grp/simple.gd
index a8f5b4f1da..97354c9c45 100644
--- a/grp/simple.gd
+++ b/grp/simple.gd
@@ -8,7 +8,7 @@
 ##
 ##  SPDX-License-Identifier: GPL-2.0-or-later
 ##
-##  This file contains basic constructions for simple groups of bounded size,
+##  This file contains basic constructions for nonabelian simple groups of bounded size,
 ##  if necessary by calling the `atlasrep' package.
 ##
 
@@ -22,7 +22,7 @@
 ##  <Func Name="SimpleGroup" Arg='id [,param]'/>
 ##
 ##  <Description>
-##  This function will construct <B>an</B> instance of the specified simple group.
+##  This function will construct <B>an</B> instance of the specified nonabelian simple group.
 ##  Groups are specified via their name in ATLAS style notation, with parameters added
 ##  if necessary. The intelligence applied to parsing the name is limited, and at the
 ##  moment no proper extensions can be constructed.
@@ -55,7 +55,7 @@ DeclareGlobalFunction("SimpleGroup");
 ##  <Func Name="EpimorphismFromClassical" Arg='G'/>
 ##
 ##  <Description>
-##  For an (almost) simple group this homomorphsim will try to construct an
+##  For a nonabelian (almost) simple group this homomorphsim will try to construct an
 ##  epimorphism from a classical group onto it (or return fail if it does
 ##  not work or is not yet implemented).
 ##  </Description>
@@ -74,7 +74,7 @@ DeclareGlobalFunction("EpimorphismFromClassical");
 ##  <Func Name="SimpleGroupsIterator" Arg='[start[,end]]'/>
 ##
 ##  <Description>
-##  This function returns an iterator that will run over all simple groups, starting
+##  This function returns an iterator that will run over all nonabelian simple groups, starting
 ##  at order <A>start</A> if specified, up to order <M>10^{18}</M> (or -- if specified
 ##  -- order <A>end</A>). If the option <A>NOPSL2</A> is given, groups of type
 ##  <M>PSL_2(q)</M> are omitted.