On the non-commuting graph in finite Moufang loops
From MaRDI portal
Publication:4638605
DOI10.1142/S0219498818500706zbMath1455.20035MaRDI QIDQ4638605
Publication date: 27 April 2018
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Related Items
Non-commuting graphs and some bounds for commutativity degree of finite Moufang loops ⋮ Certain numerical results in non-associative structures ⋮ Unnamed Item ⋮ Graphs defined on groups ⋮ Some structural graph properties of the non-commuting graph of a class of finite Moufang loops ⋮ Unnamed Item
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Every Moufang loop of odd order with nontrivial commutant has nontrivial center.
- Toward the classification of Moufang loops of order 64.
- On nilpotent Moufang loops with central associators.
- Hall's theorem for Moufang loops.
- Sylow's theorem for Moufang loops.
- Groups with the same non-commuting graph.
- Moufang loops of odd order \(p^ \alpha q_ 1^ 2\cdots q_ n^ 2r_ 1\cdots r_ m\)
- Moufang loops of odd order \(pq^3\)
- The Moufang loops of order 64 and 81.
- Moufang loops that share associator and three quarters of their multiplication tables.
- Non-commuting graph of a group.
- On the primality of $n! \pm 1$ and $2 \times 3 \times 5 \times \dotsm \times p \pm 1$
- A Moufang loop's commutant
- A Class of Simple Moufang Loops
- The classification of finite simple Moufang loops
- Finite Bol loops II
- Moufang loops of small order
- Moufang Loops of Small Order. I
- Lagrange's theorem for Moufang loops
- Simple groups are characterized by their non-commuting graphs
