• mathematics, a quasisimple group (also known as a covering group) is a group that is a perfect central extension E of a simple group S. In other words...
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    theorem. Almost simple group Characteristically simple group Quasisimple group Semisimple group List of finite simple groups Knapp (2006), p. 170 Rotman...
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    Schur multiplier (category Group theory)
    covering group or Darstellungsgruppe. The Schur covers of the finite simple groups are known, and each is an example of a quasisimple group. The Schur...
    15 KB (2,008 words) - 13:02, 23 May 2024
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    group Monster group Baby Monster group Bimonster Projective group Reductive group Simple group Quasisimple group Special linear group Symmetric group...
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  • fundamental group of S O ( 3 ) / I 60 {\displaystyle SO(3)/I_{60}} is a perfect group of order 120. More generally, a quasisimple group (a perfect central...
    10 KB (1,364 words) - 19:38, 22 May 2024
  • "On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups". Ann. Math. (2). 165 (1): 171–238...
    18 KB (2,602 words) - 23:35, 23 March 2024
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    C. The idea is that these groups have a centralizer of an involution with a component that is a smaller quasisimple group, which can be assumed to be...
    44 KB (3,913 words) - 02:58, 5 June 2024
  • In mathematics, in the field of group theory, a component of a finite group is a quasisimple subnormal subgroup. Any two distinct components commute. The...
    2 KB (237 words) - 12:49, 24 January 2024
  • T-groups: Every simple group is a T-group. Every quasisimple group is a T-group. Every abelian group is a T-group. Every Hamiltonian group is a T-group...
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  • simple group is an extension of a solvable group by a simple group. Quasisimple group Semisimple group Almost simple group at the Group Properties wiki...
    2 KB (350 words) - 22:56, 5 June 2022