Solvable Groups
Classifying families of character degree graphs of solvable groups
... Here we present some classic and more recent results that are immediately related to prime character degree graphs of solvable groups. Our aim is to keep this paper as self-contained as possible, and one ...
10
On symmetries of crystals with defects related to a class of solvable groups (S1)
... solvable groups. The particular three dimensional class of solvable groups that we choose to consider is one of two that Auslander, Green and Hahn [1] highlight as the non–nilpotent Lie ...
30
On blocks of strongly p-solvable groups
... Glauberman (cf. [8, Ch. 8, Theorem 2.11]). The purpose of this paper is to show that this theorem, which is used in the proof of the p-nilpotency theorem of Glauberman and Thompson, has a generalisation to blocks of ...
8
On symmetries of crystals with defects related to a class of solvable groups (S2)
... this way a configuration where the lattice vector fields are ‘translation invariant’, and the corresponding Lie group is R 3 with addition of points as group operation. In the general case, the Lie group structure ...
28
The $n$-ary adding machine and solvable groups
... including groups which are torsion-free and just non-solvable without free subgroups of rank 2 (see, [2, 8] and generalizations thereof ...that solvable groups which contain τ have restricted ...
46
Solvable groups derived from fuzzy hypergroups
... a solvable group. The characterization of solvable groups via strongly regular relation is investigated and several results on the topic are ...
12
Invariants of finite solvable groups
... any groups and proved that p-length of any group doesn’t exceed the minimal number of generators of its Sylow p-subgroup ...p-solvable groups this fact is given in Huppert’s monograph ([4], Theorem ...
25
On Solvable Groups of Arbitrary Derived Length and Small Commutator Length
... In 10, we found lower and upper bound for the commutator length of a finitely generated nilpotent by abelian group. We also considered an n-generator solvable group G such that G has a nilpotent by abelian normal ...
6
On The Quotient Graph in The Cayley Graphs of Solvable Groups
... [1] John B. Fraleig;, A First Course In Abstract Algebra; Narosa publishing House;1986. [2] Joseph A. Gallian: Contemporary Abstract Algebra; Narosa publishing House;1999(reprint). [3] Cai Heng Li;On Cayley Graphs of ...
6
Some finite solvable groups with non trivial lattice endomorphisms
... D Before we come to the construction of examples showing that there is no bound on the derived length of P when Zappa's conditions are satisfied, we recall some known facts about faithfu[r] ...
14
On the IYB-property in some solvable groups
... every solvable group is IYB and the integral isomorphism ...a solvable group which is not IYB (and we also exclude a plethora of similarly constructed ...soluble groups might be ...
11
NILPOTENCY AND SOLUBILITY OF GROUPS RELATIVE TO AN AUTOMORPHISM
... α-nilpotent groups, α-solvable groups, nilpotency and solvability of groups related to the automorphism α are ...and solvable groups have been divided to smaller classes of the ...
13
On embedding of partially commutative metabelian groups to matrix groups
... Chapuis, Universal Theory of Certain Solvable Groups and Bounded Ore Group Rings, J. Gutierrez, A generating set for the automorphism group of a graph product of abelian[r] ...
10
Linear cellular automata: Garden of Eden Theorem, L-surjunctivity and group rings
... (3) µ(Ag) = µ(A) for all g ∈ G and A ∈ P (G) (right-invariance). We mention that if G is amenable, namely such a right-invariant mean exists, then also left-invariant and in fact even bi-invariant means do exist. The ...
14
On finite groups with their character tables having at most p+1 zeros in each column
... finite groups of odd order with their character tables having at most p zeros on each column, where p is the smallest prime divisor of the group ...finite solvable groups with their character tables ...
12
On the number of the irreducible characters of factor groups
... Abstract. Let G be a finite group and let N be a normal subgroup of G. Suppose that Irr(G|N ) is the set of the irreducible characters of G that contain N in their kernels. In this paper, we classify solvable ...
6
Actions of discrete amenable groups on factors
... e groups, m is the Haar measure, but on in f in it e groups, such a mean, i f i t e x is ts , is never ...Abelian groups are amenable, since the in v a ria n t mean can be chosen by means o f the ...
205
Finite groups with all maximal subgroups of prime or prime square index
... -It now follows that whenever G/G is a subdirect product of primitive solvable groups on a prime or prime square number of letters or if G/G} is any homomorphic image of such a group the[r] ...
46
2e9208b4990b48c3d3f5a9d4e6fa2e2e0fc0d07a.pdf
... We will explicity compute the cohomology of the Milnor fiber, the complement and the link for two classes: determinantal hypersurfaces, which are varieties of singular matrices in the spaces of m×m matrices which may be ...
31
SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS
... abelian groups; Sv- aba, Trung and Wolf developed some algorithms to factorize the fused transver- sal logarithmic signatures ...finite solvable groups, which is the generalization of logarithmic ...
14