Results 1 to 10 of about 552 (63)

A remark on operating groups

International Journal of Mathematics and Mathematical Sciences, 1997
Let G be a finite group and H be an operator group of G. In this short note, we show a relationship between subnormal subgroup chains and H-invariant subgroup chains.
Yanming Wang
doaj   +2 more sources

Some results on π-solvable and supersolvable groups

International Journal of Mathematics and Mathematical Sciences, 1994
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
doaj   +2 more sources

A note on $1$-factorizability of quartic supersolvable Cayley graphs [PDF]

Transactions on Combinatorics, 2018
Alspach et al‎. ‎conjectured that every quartic Cayley graph on an even solvable group is $1$-factorizable‎. ‎In this paper‎, ‎we verify this conjecture for quartic Cayley graphs on supersolvable groups of even order‎.
Milad Ahanjideh, Ali Iranmanesh
doaj   +1 more source

On non-normal cyclic subgroups of prime order or order 4 of finite groups

Open Mathematics, 2021
In this paper, we call a finite group GG an NLMNLM-group (NCMNCM-group, respectively) if every non-normal cyclic subgroup of prime order or order 4 (prime power order, respectively) in GG is contained in a non-normal maximal subgroup of GG.
Guo Pengfei, Han Zhangjia
doaj   +1 more source

Some results on π‐solvable and supersolvable groups [PDF]

International Journal of Mathematics and Mathematical Sciences, 1993
For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π‐solvable, p‐solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
openaire   +3 more sources

$G$-permutable Subgroups in $\operatorname{PSL}_2(q)$ and Hereditarily $G$-permutable Subgroups in $\operatorname{PSU}_3(q)$

Известия Иркутского государственного университета: Серия "Математика"
The concept of $X$-permutable subgroup, introduced by A. N. Skiba, generalizes the classical concept of a permutable subgroup. Many classes of finite groups have been characterized in terms of $X$-permutable subgroups.
A. A. Galt, V. N. Tyutyanov
doaj   +1 more source

Sufficient conditions for the solvability and supersolvability in finite groups

Journal of Pure and Applied Algebra, 1984
A finite group G is called an H-r N-group if i) G has even order and ii) each even-ordered subgroup H of G with \(| H|\) the product of r not necessarily distinct primes, is normal in G. The author proves the following results: 1. If G is an H-2 N-group that does not involve \(A_ 4\), then G is supersolvable. 2. If G is an H-2 N-group or an H-3 N-group
openaire   +1 more source

Solvable and supersolvable groups in which every element is conjugate to its inverse [PDF]

Pacific Journal of Mathematics, 1971
openaire   +3 more sources

Supersolvable automorphism groups of solvable groups

Mathematische Zeitschrift, 1983
openaire   +1 more source

Counting supersolvable and solvable group orders

Research in Mathematics
Edward Bertram, Guanhong Li
openaire   +1 more source