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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E37">Def3</font></span>   defines <a href="group_22.html#V3" title="GROUP_22:attr.3">characteristic</a> <a onclick="hs(this)" href="javascript:()">GROUP_22:def 4 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">IT</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds <br/> ( <font color="Olive" title="b2">IT</font> is  <a href="group_22.html#V3" title="GROUP_22:attr.3">characteristic</a>  iff  for <font color="Olive" title="b3">f</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font> holds   <a href="group_6.html#K10" title="GROUP_6:func.10">Image</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="grsolv_1.html#K1" title="GRSOLV_1:func.1">|</a> <font color="Olive" title="b2">IT</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="algstr_0.html#G3" title="ALGSTR_0:aggr.3">multMagma</a>(#  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">IT</font>, the <a href="algstr_0.html#U2" title="ALGSTR_0:sel.2">multF</a> of <font color="Olive" title="b2">IT</font> #) );<br/></span></div>
