Finite groups in which any two elements of the same order are either fused or inverse-fused
From MaRDI portal
Publication:4361046
DOI10.1080/00927879708826042zbMath0883.20013OpenAlexW2103248672WikidataQ56988169 ScholiaQ56988169MaRDI QIDQ4361046
Cai Heng Li, Cheryl E. Praeger
Publication date: 25 January 1998
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00927879708826042
Arithmetic and combinatorial problems involving abstract finite groups (20D60) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphisms of abstract finite groups (20D45) Finite simple groups and their classification (20D05)
Related Items
Isomorphisms of finite Cayley digraphs of bounded valency, Automorphism Orbits and Element Orders in Finite Groups: Almost-Solubility and the Monster, The isomorphism of generalized Cayley graphs on finite non-abelian simple groups, The finite simple groups with at most two fusion classes of every order, Further restrictions on the structure of finite CI-groups, A classification of nonabelian simple 3-BCI-groups., Finite BCI-groups are solvable, A classification of nilpotent $3$-BCI groups, On finite groups with the Cayley isomorphism property. II, On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On finite groups all of whose elements of the same order are conjugate in their automorphism groups
- 2-automorphic 2-groups
- Solvable, flag-transitive, rank 3 collineation groups
- Isomorphisms of finite Cayley digraphs of bounded valency. II
- Isomorphism problem for relational structures with a cyclic automorphism
- A note on \(2\)-automorphic \(2\)-groups
- The Affine Permutation Groups of Rank Three
- Homogeneous Solvable Groups
- The finite simple groups with at most two fusion classes of every order