[PDF] Top 20 On some Abelian p-groups and their capability
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On some Abelian p-groups and their capability
... capable p-groups with commutator subgroup of order p have been obtained by Parvizi and Niroomand in ...the capability of these groups by using the Schur multiplier, epicenter, exterior ... See full document
8
Balanced subgroups of Abelian groups
... projective resolution of A ). We prove that (9) is H-balanced. As A has torsion free rank 1 , a glance at the height matrix of a shows that the only heights which occur for infinite order elements of A are those which ... See full document
120
Characterization of the automorphisms having the lifting property in the category of abelian p groups
... From the fact that Q / Z is divisible, it follows that α = id or α = − id. Proposition 3.2 . Let p be a prime number and A a p-divisible torsion-free group. Then an automorphism α of A has the lifting ... See full document
6
Pseudo-Free Families of Finite Computational Elementary Abelian $p$-Groups
... computational groups in varieties of finite exponent (provided that such families ...elementary abelian p-groups (see Corollary ...computational groups of easily computable order was ... See full document
19
The Schur multiplier and capability of pairs of some finite groups
... Fungtor homologi bagi suatu kumpulan berasal dari teori homotopi dan teori-K aljabar. Pendarab Schur bagi suatu kumpulan adalah satu daripada fungtor homologi sementara pendarab Schur bagi kumpulan berpasangan adalah ... See full document
26
Some numerical results on two classes of finite groups
... Polkouei, Some numerical results on finite non-abelian 2- generator p-groups of nilpotency class two , Annals Math Iasi, preprinted.. Sarmin, On some problems in group theory of probabil[r] ... See full document
10
Computable Torsion Abelian Groups
... We briefly discuss the proofs of Theorems 1.4 and 1.3. There have been enough argu- ments in recursion theory exploiting the failure of a diagonalisation attempt, the most closely related examples can be found in ... See full document
45
Computational problems in the theory of Abelian groups
... on abelian groups represented with a set of de fin in g re la tion s and c lo se ly related problems are ...In p a rtic u la r, the problem of computing the order and the canonical s tru ctu re o f a ... See full document
194
Factorization numbers of finite abelian groups
... of subspaces of dimension i in a vector space of dimension n over the field of order q. We refer the interested reader to [1, 2, 4, 10, 12] for more details on q-numbers and related topics. As we have seen before, Lemma ... See full document
8
Convergent nets in abelian topological groups
... (3.1) is linearly ordered and hence may be considered to be a sequence. Now pick g ∈ G and suppose that there are infinitely many pairwise disjoint factorizations of g in x i,n | i ∈ { 1,2, . . . , m } , n ∈ N . Since G/H ... See full document
7
On the Cayley Hamilton property in abelian groups
... Of course it is natural to conjecture that the theorem of Casacuberta and Hilton remains true if one considers any fgp groups which are special or have, for an infinite number of primes,[r] ... See full document
6
On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups
... GAP, since it is efficient and reliable. The algorithm we have introduced reduces our computation to counting the chains of subgroups of the group say G that ends in G and applying our result in the corresponding formula ... See full document
7
2-blocks with abelian defect groups
... simple groups, a powerful reduction is provided by a theorem of Bonnaf´e and Rouquier ...Chevalley groups which are not groups of Lie type (the main cases in question are the simple groups of ... See full document
30
Some explicit constructions of ternary non-full-rank tilings of abelian groups
... finite abelian group G is a pair (A, B) of subsets of G containing the identity e of G and every g ∈ G can be uniquely written in the form g = ab, where a ∈ A and b ∈ ...finite abelian group G, where by a ... See full document
7
Successive Approximation of p Class Towers
... degree- p extensions E F are shown to be capable of narrowing down the number of contestants ...the p -class towers of a number field F and of an unramified abelian p -extension E F , we are ... See full document
26
Some properties of torsion classes of abelian groups
... In Section 2 we consider some further examples of torsion classes determined by torsionfree groups and show that these may have quite distinct representations, for instance a group of ra[r] ... See full document
113
SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS
... not abelian for ...to abelian groups; Sv- aba, Trung and Wolf developed some algorithms to factorize the fused transver- sal logarithmic signatures ...by some mod- ifications, which is ... See full document
14
Some topics in the theory of ring structures on Abelian groups
... of Levitz and Mott [1] show that the only other groups that can possibly support associative rings satisfying both the restricted minimum condition and the finite norm property are the i[r] ... See full document
157
Two problems on varieties of groups generated by wreath products
... the abelian group B centralizes A = M, then it generates a cyclic subgroup r normal in G (for, clearly, r also centralizes the abelian group ...the abelian group B has an irreducible and faithful ... See full document
11
Some special classes of n-abelian groups
... is abelian if and only if −1 ∈ ...is abelian, n ∈ A (G) if and only if p ∈ A (G) for all primes p dividing ...primes p such that G is p-divisible, one can easily realize ... See full document
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