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Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00281-9
Abstract: Let G be a finite group and H a subgroup of G. We say that H: is generalized S-quasinormal in G if \(H=\left\langle A,B\right\rangle \) for some modular subgroup A and S-quasinormal subgroup B of…
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Keywords:
given systems;
finite groups;
subgroup;
groups given ... See more keywords
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Published in 2021 at "Communications in Algebra"
DOI: 10.1080/00927872.2021.1982956
Abstract: Abstract Let G be a finite group and V(G) be the set of all non-central conjugacy classes of G. Consider the conjugacy class graph of G which is defined as follows: its vertex set is…
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Keywords:
conjugacy;
property conjugacy;
conjugacy classes;
given property ... See more keywords
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Published in 2019 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498820500772
Abstract: The solubility of a finite group with less than [Formula: see text] supersoluble subgroups is confirmed in this paper. Moreover, we prove that a finite insoluble group has exactly [Formula: see text] supersoluble subgroups if…
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Keywords:
finite groups;
supersoluble subgroups;
groups given;
formula see ... See more keywords