Results 51 to 60 of about 158,446 (145)

Generators for maximal subgroups of Conway group Co1

Open Mathematics, 2019
The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal, Farooq Adeel, Nazeer Waqas, Kang Shin Min   +3 more
doaj   +1 more source

Gravity on Finite Groups [PDF]

Communications in Mathematical Physics, 2001
Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S_3 is treated in detail, and used to build a gravity-like field theory on S_3.
openaire   +3 more sources

The structure of finite groups and ɵ-pairs of general subgroups

Open Mathematics, 2015
Using the concept of ɵ-pairs of proper subgroups of a finite group, we obtain some critical conditions of the supersolvability and nilpotency of finite groups.
Xu Yong, Hou Hailong, Zhang Xinjian
doaj   +1 more source

Some Metrical Properties of Lattice Graphs of Finite Groups

Mathematics, 2019
This paper is concerned with the combinatorial facts of the lattice graphs of Z p 1 × p 2 × ⋯ × p m , Z p 1 m 1 × p 2 m 2 , and Z p 1 m 1 × p 2 m 2 × p 3 1 .
Jia-Bao Liu, Mobeen Munir, Qurat-ul-Ain Munir, Abdul Rauf Nizami   +3 more
doaj   +1 more source

On F^ω-projectors and F^ω-covering subgroups of finite groups [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика
Only finite groups are considered. $\frak F$-projectors and $\frak F$-covering subgroups, where $\frak F$ is a certain class of groups, were introduced into consideration by W.~Gaschutz as a natural generalization of Sylow and Hall subgroups in finite ...
Sorokina, Marina M., Novikova, Diana G.
doaj   +1 more source

Finite groups whose coprime graph is split, threshold, chordal, or a cograph [PDF]

Proceedings of the Estonian Academy of Sciences
Given a finite group G, the coprime graph of G, denoted by Γ(G), is defined as an undirected graph with the vertex set G, and for distinct x, y ∈ G, x is adjacent to y if and only if (o(x), o(y)) = 1, where o(x) and o(y) are the orders of x and y ...
Jin Chen, Shixun Lin, Xuanlong Ma
doaj   +1 more source

Powers in finite groups

Groups, Geometry, and Dynamics, 2011
If G is a finitely generated profinite group then the verbal subgroup G^{q} is open. In a d -generator finite group every product of q
Segal, D, Nikolov, N
openaire   +5 more sources

On Orbits of the Ring Zmn under Action of the Group SL(m, Zn)

Acta Polytechnica, 2005
We consider the action of the finite matrix group SL(m,Zn ) on the ring Zmn. We determine orbits of this action for n arbitrary natural number. It is a generalization of the task which was studied by A. A. Kirillov for m = 2 and n prime number.
P. Novotný, J. Hrivnák
doaj  

Finite groups whose order graph is C4-free [PDF]

Proceedings of the Estonian Academy of Sciences
Given a finite group G , the order graph of G, denoted by S(G), is a graph whose vertex set is G, and two distinct vertices a and b are adjacent if o(a) | o(b) or o(b) | o(a), where o(a), and o(b), are the orders of a and b in G, respectively.
Jin Chen, Jie Chen, Shixun Lin
doaj   +1 more source

Finite simple groups and finite primitive permutation groups [PDF]

Bulletin of the Australian Mathematical Society, 1983
The classification of the finite simple groups has had far-reaching consequences for many branches of algebra. This paper is a discussion of several problems about primitive permutation groups which have been solved using the simple group classification.
openaire   +2 more sources