On Hurwitz generation and genus actions of sporadic groups
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Publication:1108372
zbMath0654.20014MaRDI QIDQ1108372
Publication date: 1989
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Simple groups: sporadic groups (20D08) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Representations of groups as automorphism groups of algebraic systems (20F29) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)
Related Items (22)
On the generalized Hurwitz equation and the Baragar-Umeda equation ⋮ \((p,q,r)\)-generations of the smallest Conway group \(Co_ 3\) ⋮ \((p,q,r)\)-generations and \(nX\)-complementary generations of the sporadic groups \(HS\) and \(McL\) ⋮ On the ranks of \(O'N\) and \(Ly\). ⋮ Hurwitz groups: A brief survey ⋮ \((3, q, r)\)-generations of Fischer's sporadic group \(\mathrm{Fi}^\prime_{24}\) ⋮ (2,3,t)-Generations for the janko group j3 ⋮ Simple Hurwitz groups and eta invariant ⋮ More classical groups which are not \((2,3)\)-generated. ⋮ ON THE RANKS OF FISCHER GROUP Fi23 ⋮ THE -GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS ⋮ Generating pairs for the sporadic group \(Ru\). ⋮ Sporadic simple groups which are Hurwitz ⋮ Unnamed Item ⋮ Generation of finite simple groups by an involution and an element of prime order ⋮ \((2,3)\)-generation of \(PSp(4,q)\), \(q=p^ n\), \(p\neq 2,3\) ⋮ Hurwitz Groups and Hurwitz Generation ⋮ \(nX\)-complementary generations of the Fischer group \(Fi_{23}\). ⋮ The Symmetric Genus of Sporadic Groups ⋮ On a special quotient of the generating graph of a finite group ⋮ On \((2,3)\)-generation of Fischer's largest sporadic simple group \(\mathrm{Fi}_{24}^\prime\) ⋮ Generating pairs for the Held group \(He\)
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