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simple group
(redirected from Simple groups)

   Also found in: Wikipedia 0.01 sec.
simple group [¦sim·pəl ′grüp]
(mathematics)
A groupGthat is nontrivial and contains no normal subgroups other than the identity element andGitself.


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147 QA177 Intended for non-experts, this begins with background material on the relevant constructions from algebraic topology and on local geometries from group theory, reviewing aspects of group cohomology, simplicial sets and their equivalence with topological space, Bousfield-Kan completions and homotopy colimits, decompositions and p-subgroups, and 2-local geometries for simple groups.
In many cases, the tribes or ethnic minorities recognized by the host governments are simple groups caught on the wrong side of the border as empires expanded and contracted over the past few centuries, and so their self-identities may diverge considerably from their official status.
Simple groups are the building blocks from which all other groups are assembled.
 
 
 
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