Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 7 of 7 for “"Sporadic simple groups"”.
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Homormophic Images and their Isomorphism Types
… The homomorphic images discovered include Linear groups, Alternating groups, and two sporadic simple groups J<sub>1</sub> and J<sub>2</sub>X2 where J<sub>1</sub> is the smallest Janko group and J<sub>2</sub> is the second Janko sporadic group.</p>
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An Introduction to S(5,8,24)
… designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable way. This thesis discusses the underlying structure of S(5,8,24), its construction via the (24,12) Golay code, as well its automorphism group, which is the Mathieu group M24, a member of the …
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Morita-Äquivalenzen in der algorithmischen Darstellungstheorie
… to the algorithmic representation theory of sporadic simple groups. We augment the condensation method by allowing to condense with an arbitrary primitive idempotent of a linear character of the condensation subgroup. To this end we introduce the necessary algorithms theoretically and …
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Dade's Conjecture for the McLaughlin Simple Group
… with counting characters in the blocks of finite groups. Specifically, Dade's so-called Ordinary Conjecture asserts that if a finite group G has trivial p-core, and B is a p-block of G of positive defect, then the number k(B,d) of complex irreducible characters with fixed defect d belonging to B …
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Dade's Conjecture for the McLaughlin Simple Group
… with counting characters in the blocks of finite groups. Specifically, Dade's so-called Ordinary Conjecture asserts that if a finite group G has trivial p-core and B is a p-block of G of positive defect, then the number $k(B,\ d)$ of complex irreducible characters with fixed defect d belonging to …
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… thesis is to show constructions of some of the sporadic groups such as the Mathieu group, M<sub>12</sub>, J<sub>1</sub>, Projective Special Linear groups, PSL(2,8), and PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups …