[PDF] Top 20 Invariants of finite solvable groups
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Invariants of finite solvable groups
... 2.2) if N is a complemented normal subgroup of G then |N/Φ(N )| ≤ 4. V.D. Mazurov proved that if α 6= 1 is automorphism of odd order of metacyclic 2-group T then the order of α is equal to 3, T is either a quaternion ... See full document
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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 ... See full document
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On the IYB-property in some solvable groups
... a finite group X such that ZX ∼ = ZY for some other finite group Y not isomorphic to ...a solvable group which is not ...cyclic groups of order 97, and eight times a group D which is described ... See full document
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Primitive permutation groups with a solvable subconstituent of degree 7
... primitive groups with a suborbit of length 4 were given by Quirin, Sims and Wang in [6, 7, ...primitive groups with a suborbit of length 5 in [6, ...all finite primitive permutation groups ... See full document
15
Ends of groups : a computational approach
... Clearly, the problem of whether a group given by finite presentation splits as a free product is not solvable for arbitrary finitely presented groups either splits as a free product if a[r] ... See full document
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Morris
... every finite group has a hamiltonian cycle (unless the graph has less than three ...of finite groups G, for which it is known that every connected Cayley graph on G has a hamiltonian ...many ... See full document
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Solvable quotients of subdirect products of perfect groups are nilpotent
... In September 2017 D. F. Holt asked on the group pub forum whether a solvable quotient of a subdirect product of perfect groups is necessarily abelian. The question was re-posted on mathoverflow [5] where ... See full document
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Solvable groups derived from fuzzy hypergroups
... a finite fuzzy hypergroup S such that the quotient group S/ξ ∗ , the set of all equivalence classes, is a solvable ...of solvable groups via strongly regular relation is investigated and ... See full document
12
Sylow multiplicities in finite groups
... any finite group G the product of all subgroups of G which are both normal and solvable is a normal and solvable subgroup, called the solvable radical of ...The solvable radical of G ... See full document
8
Transformation groups on real plane and their differential invariants
... any finite order over the real ...erential invariants of the transformations groups acting in the spaces of more than two variables and having a low number of parameters by means of using the ... See full document
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Classifying families of character degree graphs of solvable groups
... We note that throughout this paper, G will be a finite solvable group. We denote Irr(G) for the set of irreducible characters of G, and cd(G) = { χ(1) | χ ∈ Irr(G) } . Write ρ(G) to be the set of primes ... See full document
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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 ...of finite solvable groups, which is the generalization of ... See full document
14
Computing invariants for finitely presented nilpotent groups
... nilpotent groups are considered by way of their finite ...the invariants introduced could be practically computed from a large range of finite presentations of nilpotent ... See full document
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Quasi-invariants of complex reflection groups
... a finite Coxeter group was intro- duced by ...of invariants, they first appeared in a slightly disguised form (as symbols of commuting differential ...quasi- invariants and associated varieties have ... See full document
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On Fitting groups whose proper subgroups are solvable
... (c) Suppose that G is perfect. There exists an E ∈ E ∗ (w, V ) so that M < E by [4, Lemma 4.3]. Hence there exists a finite subgroup U of E satisfying V ≤ U ≰ M . Also w / ∈ U since w / ∈ E. Thus (w, U) is a ... See full document
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Finite groups admitting a dihedral group of automorphisms
... Öğüt, Nilpotent length of a Finite Solvable Group with a coprime Frobenius Group of Automorphisms, Comm. Isaacs, Fixed points and characters in groups with non-coprime operator groups, C[r] ... See full document
7
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 ...a finite number of states ...that solvable ... See full document
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On some invariants of finite groups
... The order is helpful, for example in inductive proofs and in computational group theory (see for example [5, 8] and [3]), but the usual ordering of natural numbers is not well connected with properties of groups ... See full document
7
Rings of invariants of finite groups when the bad primes exist
... of invariants of finite groups was the classical book of ...of invariants were studied and plenty of examples were considered especially including many ‘pathological’ examples (when properties ... See full document
10
Link invariants from finite categorical groups
... a finite crossed module and a pair of functions, called a Rei- demeister pair, satisfying natural ...link invariants, as well as the Eisermann invariant of ... See full document
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