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## A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups

Katić, Anita; Žižović, Mališa R.
A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups // Filomat, 29 (2015), 4; 839-852 (međunarodna recenzija, članak, znanstveni)

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Naslov
A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups

Autori
Katić, Anita ; Žižović, Mališa R.

Izvornik
Filomat (0354-5180) 29 (2015), 4; 839-852

Ključne riječi
(n ; m)-group ; {; ; ; 1 ; n-m+1}; ; ; -neutral operation ; central operation

Sažetak
In this paper we prove a generalization of the Hosszu-Gluskin theorem for ( ´ sm, m)-groups in terms of a {; ; ; 1, (s − 1)m + 1}; ; ; -neutral operation and we define the algebra  Qm, n ·, ϕ, c m 1 o associated to the (sm, m)-group (Q, A). The central operation of an (n, m)-group is defined in [7]. Research results of central operation properties using a bijection σα : Qm → Qm are presented by means of a series of theorems. Then, a central operation of an (sm, m)-group is investigated using the previously mentioned algebra.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Ustanove
Fakultet elektrotehnike, računarstva i informacijskih tehnologija Osijek

Profili:

Anita Katić (autor)

#### Citiraj ovu publikaciju

Katić, Anita; Žižović, Mališa R.
A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups // Filomat, 29 (2015), 4; 839-852 (međunarodna recenzija, članak, znanstveni)
Katić, A. & Žižović, M. (2015) A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups. Filomat, 29 (4), 839-852.
@article{article, year = {2015}, pages = {839-852}, keywords = {(n, m)-group, {, , , 1, n-m+1}, , , -neutral operation, central operation}, journal = {Filomat}, volume = {29}, number = {4}, issn = {0354-5180}, title = {A Hosszu-Gluskin Algebra and a Central Operation of (sm, m)-Groups}, keyword = {(n, m)-group, {, , , 1, n-m+1}, , , -neutral operation, central operation} }

#### Časopis indeksira:

• Web of Science Core Collection (WoSCC)
• Science Citation Index Expanded (SCI-EXP)
• SCI-EXP, SSCI i/ili A&HCI
• Scopus

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