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Groups with the same orders and large character degrees as PGL(2,9)
Authors: B. Khosravi
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Abstract
We determine groups with the same order and the same largest and second largest irreducible character degrees as PGL(2,9) and as a consequence of our result it follows that PGL(2,9) is characterizable by the structure of its complex group algebra.Fulltext
– 0.21 Mb
Contents
- On Latin squares of polynomially complete quasigroups and quasigroups generated by shifts
- Hom-Bol algebras
- Ascending chain conditions on principal left and right ideals for semidirect products of ordered semigroups
- On regular medial division algebras
- Contractions of quasigroups and Latin squares
- On 2-absorbing semimodules
- Strong forms of orthogonality for sets of frequency hypercubes
- A still shorter axiom for trimedial quasigroups
- Clifford congruences on perfect semigroups
- E-disjunctive semigroups and idempotent pure congruences
- Groups with the same orders and large character degrees as PGL(2,9)
- Coset diagrams of the action of a certain Bianchi group on PL(Fp)
- Automorphisms of abelian n-ary groups
- Free products of dimonoids
