Computing maximal and minimal subgroups with respect to a given property in certain nite groups
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SHELASH, Haider Baker, ASHRAFI, Ali-Reza. Computing maximal and minimal subgroups with respect to a given property in certain nite groups. In: Quasigroups and Related Systems, 2019, vol. 27, nr. 1(41), pp. 133-146. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 27, Numărul 1(41) / 2019 / ISSN 1561-2848

Computing maximal and minimal subgroups with respect to a given property in certain nite groups

CZU: 512.54
MSC 2010: 20D25, 20D60.

Pag. 133-146

Shelash Haider Baker1, Ashrafi Ali-Reza2
 
1 University of Najaf, Kufa,
2 University of Kashan
 
 
Disponibil în IBN: 25 august 2019


Rezumat

Suppose G is a nite group and max(G), nmax(G), snmax(G), maxn(G) and minn(G) are denoted the number of maximal, normal maximal, self-normalizing maximal, maximal normal and minimal normal subgroups of G, respectively. The aim of this paper is to compute these numbers for certain classes of nite groups.

Cuvinte-cheie
finite group, maximal subgroup, minimal subgroup, self-normalizing maximal subgroups