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...
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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...
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"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
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