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[PDF] Top 20 The Schur multiplier and capability of pairs of some finite groups

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The Schur multiplier and capability of pairs of some finite groups

The Schur multiplier and capability of pairs of some finite groups

... of Groups, Algorithms and Programming (GAP) ...the groups, abelianization of the groups and the Schur multiplier of the groups, the Schur multiplier of pairs ... See full document

26

Isoclinic Classification of Some Pairs $(G,G')$ of $p$-Groups

Isoclinic Classification of Some Pairs $(G,G')$ of $p$-Groups

... of capability and Schur mul- tiplier for a pair of groups and turned out some of their ...demonstrated some more properties of the Schur multiplier of a pair, as well as a ... See full document

10

Some Structural Properties of Upper and Lower Central Series of Pairs of Groups

Some Structural Properties of Upper and Lower Central Series of Pairs of Groups

... hand, pairs of groups as a tool for simultaneous study of a group and its subgroup, have been verified by many authors during these recent two ...of groups, we mean a group G and a normal subgroup N ... See full document

10

Groups of order 2048 with three generators and three relations

Groups of order 2048 with three generators and three relations

... A finite group is said to have deficiency zero if it has a deficiency zero presentation, namely a presentation with an equal number of generators and ...that finite groups of deficiency zero have ... See full document

9

Discrete torsion, non-abelian orbifolds and the Schur multiplier

Discrete torsion, non-abelian orbifolds and the Schur multiplier

... complicated groups we need a methodology to compute the Schur Multiplier, and we have many to our aid, for after all the computation of M (G) is a vast subject entirely by ...to Schur: THEOREM ... See full document

27

On the efficiency of finite groups

On the efficiency of finite groups

... of groups, stimulated by questions asked by Wiegold in [30], has been studied by several authors; see for example [1], [4], [7], ...three groups possessing certain properties are efficient and also give ... See full document

151

On the order of the schur multiplier of a pair of finite $p$-groups II

On the order of the schur multiplier of a pair of finite $p$-groups II

... Let (G, N ) be a pair of groups and K be the complement of N in G. In 2004, Salemkar, Moghaddam and Saeedi [10] characterized the structure of such a pair (G, N ) when t = 0, 1 under some conditions. ... See full document

8

On some Abelian p-groups and their capability

On some Abelian p-groups and their capability

... the capability of these groups by using the Schur multiplier, epicenter, exterior center and abelianization of the ...the capability for groups of composite orders of p 2 q and p ... See full document

8

The schur multipliers, nonbelian tensor squares and capability of some finite p-groups

The schur multipliers, nonbelian tensor squares and capability of some finite p-groups

... The capability of groups was first discussed by Baer [3] in 1938, who determined the capability of finitely generated abelian ...the capability of groups has become an interest for many ... See full document

29

The schur multiplier of pairs of nonabelian groups of order p4

The schur multiplier of pairs of nonabelian groups of order p4

... pendarab Schur bagi sepasang kumpulan adalah suatu kumpulan abelan ...pendarab Schur bagi sepasang kumpulan adalah lanjutan daripada pendarab Schur bagi suatu kumpulan ...pendarab Schur bagi ... See full document

5

Some remarks on inp-minimal and finite burden groups

Some remarks on inp-minimal and finite burden groups

... We prove that any left-ordered inp-minimal group is abelian and we provide an example of a non-abelian left-ordered group of dp-rank 2. Furthermore, we establish a necessary condition for group to have finite ... See full document

8

(c,1,...,1) Polynilpotent Multiplier of some Nilpotent Products of Groups

(c,1,...,1) Polynilpotent Multiplier of some Nilpotent Products of Groups

... In this paper we determine the structure of (c, 1, . . . , 1) polynilpotent multiplier of certain class of groups. The method is based on the character- izing an explicit structure for the Baer invariant of ... See full document

13

Some subalgebras of the Schur algebra

Some subalgebras of the Schur algebra

... The quality of this reproduction is heavily dependent upon the quality of the original thesis submitted for microfilming. Every effort has been made to ensure the highest quality of reproduction possible. If pages are ... See full document

164

The precise value of commutativity degree in some finite groups

The precise value of commutativity degree in some finite groups

... any finite split metacyclic 𝑝𝑝 -group for an odd prime 𝑝𝑝 , that is, 𝐺𝐺 = 𝐻𝐻 ⋉ 𝐾𝐾 for subgroups 𝐻𝐻 and 𝐾𝐾 , and if |𝐻𝐻| = 𝑝𝑝 𝛼𝛼 and |𝐾𝐾| = 𝑝𝑝 𝛼𝛼 +𝛽𝛽 , then there exist exactly ... See full document

6

Some finite solvable groups with non trivial lattice endomorphisms

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] ... See full document

14

Generalized commutativity degrees of some finite groups and their related graphs

Generalized commutativity degrees of some finite groups and their related graphs

... Furthermore, some properties of those graphs have been found for all finite ...a finite group which is a generalization of the non-commuting graph. Some related properties of those graphs are ... See full document

28

Commutativity degrees and related invariants of some finite nilpotent groups

Commutativity degrees and related invariants of some finite nilpotent groups

... 4, some preliminary results for n-th and relative n-th commutativity degree are ...two pairs of relative isoclinic groups, then they will have equal relative n- th commutativity degree, P H G n  ,  ... See full document

23

On Schur Convexity of Some Symmetric Functions

On Schur Convexity of Some Symmetric Functions

... Lv, β€œThe Schur harmonic convexity of the Hamy symmetric function and its applications,” Journal of Inequalities and Applications, vol.. Olkin, Inequalities: Theory of Majorization and It[r] ... See full document

12

Some numerical results on two classes of finite groups

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

SOME  REMARKS  ON  THE  LOGARITHMIC  SIGNATURES  OF  FINITE  ABELIAN  GROUPS

SOME REMARKS ON THE LOGARITHMIC SIGNATURES OF FINITE ABELIAN GROUPS

... is no known algorithm in polynomial time to solve this problem. Otherwise, if the order of G can be factorized into products of small primes, then the DLP of G can be solved in polynomial time, as we will discuss later. ... See full document

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