Results 11 to 20 of about 5,418,532 (71)

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   +5 more sources

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

Supersolvable automorphism groups of solvable groups

Mathematische Zeitschrift, 1983
Alexandre Turull
exaly   +2 more sources

Two Generator Subalgebras Of Lie Algebras. [PDF]

, 2007
In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin, Varea, Vicente R., Towers, David A.   +2 more
core   +5 more sources

Counting supersolvable and solvable group orders

Research in Mathematics
Hari Mohan Srivastava
exaly   +2 more sources

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

Pacific Journal of Mathematics, 1971
exaly   +4 more sources

Solvable Lie A-algebras. [PDF]

, 2011
A finite-dimensional Lie algebra $L$ over a field $F$ is called an $A$-algebra if all of its nilpotent subalgebras are abelian. This is analogous to the concept of an $A$-group: a finite group with the property that all of its Sylow subgroups are abelian.
Towers, David A., David A. Towers
core   +5 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