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Published in 2017 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2016.12.035
Abstract: Abstract A subgroup H of G is called complemented in G if there exists a subgroup K of G such that G = H K and H ??? K = 1 . The aim of…
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Keywords:
solvable groups;
new condition;
condition solvable;
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Published in 2018 at "Communications in Algebra"
DOI: 10.1080/00927872.2017.1344694
Abstract: ABSTRACT It is well known that the normality of subgroups plays an important part in the research of group theory. So it is reasonable to investigate the structure of a group by using normalizers of…
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Keywords:
subgroup;
solvable groups;
groups normalizer;
non ... See more keywords
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Published in 2020 at "Journal of Algebra and Its Applications"
DOI: 10.1142/s0219498822500669
Abstract: In this paper, we classify all finite solvable groups having at most two imprimitive irreducible characters.
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Keywords:
solvable groups;
imprimitive irreducible;
finite solvable;
irreducible characters ... See more keywords