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129:. However, in the infinite case, strictly simple is a stronger property than simple.
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In the finite case, a group is strictly simple if and only if it is
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is a strictly simple group if the only ascendant subgroups of
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32:if it has no proper nontrivial
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183:. You can help Knowledge by
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122:itself (the whole group).
144:Absolutely simple group
179:-related article is a
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95:{\displaystyle \{e\}}
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230:Properties of groups
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34:ascendant subgroups
235:Group theory stubs
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20:, in the field of
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115:{\displaystyle G}
69:{\displaystyle G}
49:{\displaystyle G}
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139:Serial subgroup
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185:expanding it
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155:Simple Group
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36:. That is,
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224:Categories
150:References
133:See also
127:simple
175:This
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181:stub
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24:, a
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226::
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187:.
110:G
90:}
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84:{
64:G
44:G
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