A Characterization of the Simple Group U3(5)
- 1 March 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Nagoya Mathematical Journal
- Vol. 38, 27-40
- https://doi.org/10.1017/s0027763000013490
Abstract
In this note we consider a finite group G which satisfies the following conditions: (0. 1) G is a doubly transitive permutation group on a set Ω of m + 1 letters, where m is an odd integer ≥ 3, (0. 2) if H is a subgroup of G and contains all the elements of G which fix two different letters α, β, then H contains unique permutation h0 ≠ 1 which fixes at least three letters, (0. 3) every involution of G fixes at least three letters, (0. 4) G is not isomorphic to one of the groups of Ree type.Keywords
This publication has 10 references indexed in Scilit:
- On Doubly Transitive Groups of Degree n and Order 2(n − 1)nNagoya Mathematical Journal, 1966
- Some applications of the theory of blocks of characters of finite groups IIIJournal of Algebra, 1966
- A characterization of the 3-dimensional projective unitary group over a finite field of odd characteristicJournal of Algebra, 1965
- Sur Une Famille de Groupes de Permutations Doublement TransitifsCanadian Journal of Mathematics, 1964
- Finite permutation groups of rank 3Mathematische Zeitschrift, 1964
- On a class of doubly transitive permutation groupsIllinois Journal of Mathematics, 1962
- ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUPProceedings of the National Academy of Sciences, 1959
- FINITE GROUPS WITH FIXED-POINT-FREE AUTOMORPHISMS OF PRIME ORDERProceedings of the National Academy of Sciences, 1959
- On Finite Groups with Cyclic Sylow Subgroups for all Odd PrimesAmerican Journal of Mathematics, 1955
- Kennzeichnung endlicher linearer Gruppen als PermutationsgruppenAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 1935