| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
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 562 8 |
| Ultima descărcare din IBN: 2022-11-01 15:07 |
| Căutarea după subiecte similare conform CZU |
| 512.541 (18) |
| Algebră (400) |
 SM ISO690:2012KUMAR, Pradeep. Maximal non-commuting set in nite odd order metacyclic p-group. In: Quasigroups and Related Systems, 2018, vol. 26, nr. 2(40), pp. 247-250. ISSN 1561-2848. |
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 Quasigroups and Related Systems |
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| Volumul 26, Numărul 2(40) / 2018 / ISSN 1561-2848 | ||||||
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| CZU: 512.541 | ||||||
| MSC 2010: 20D15 | ||||||
| Pag. 247-250 | ||||||
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 Descarcă PDF |
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| Rezumat | ||||||
Let G be a nite group and W be a subset of G. If ab 6= ba for any two distinct elements a and b in W, then W is said to be a non-commuting set. Further, if jWj > jXj for any other non-commuting set X in G, then W is said to be a maximal non-commuting set. Fouladi and Or determined in [3] the size of maximal non-commuting sets in nite non-abelian metacyclic p-groups. Below we give an elementary proof of this result. |
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| Cuvinte-cheie Metacyclic p-group, non-commuting set, centralizer. |
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