Semigroups related to certain group presentations

Arjomandfar, A; Campbell, C. M.; Doostie, H.

doi:10.1007/s00233-012-9433-z

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2015

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Cited by 1 publication

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“…In [1], the authors showed that the semigroups defined by the presentations (2) and (3) have the orders…”

Section: Resultsmentioning

confidence: 99%

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On the efficiency of some p-groups

Ateş

2015

Analele Universitatii "Ovidius" Constanta - Seria Matematica

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Let p be a prime number. In this paper, we work on the efficiency of the p-groups G1 and G2 defined by the presentations,where α ≥ β > γ ≥ 1 andwhere α ≥ 2γ, β > γ ≥ 1 and α + β > 3. For example, if we let p = 2, then by [1], the groups defined by these presentations becomes 2-groups. It is known that these groups play an important role in the theory of groups of nilpotency class 2. IntroductionLet G be a finitely presented group with a presentationThen the deficiency of this presentation is defined by |r| − |x|, and is denoted by def (P). Moreover, the group deficiency of a finitely presented group G is given by def G (G) = min{def (P) : P is a f inite group presentation f or G}.

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“…In [1], the authors showed that the semigroups defined by the presentations (2) and (3) have the orders…”

Section: Resultsmentioning

confidence: 99%

“…For example, if we let p = 2, then by [1], the groups defined by these presentations becomes 2-groups. It is known that these groups play an important role in the theory of groups of nilpotency class 2.…”

mentioning

confidence: 99%

On the efficiency of some p-groups

Ateş

2015

Analele Universitatii "Ovidius" Constanta - Seria Matematica

View full text Add to dashboard Cite

show abstract

Semigroups related to certain group presentations

Cited by 1 publication

References 13 publications

On the efficiency of some p-groups

On the efficiency of some p-groups

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