Articles with "solvable groups" as a keyword



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A new condition for solvable groups

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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… read more here.

Keywords: solvable groups; new condition; condition solvable;
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Finite non-solvable groups in which the normalizer of every nonnormal cyclic subgroup is maximal

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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… read more here.

Keywords: subgroup; solvable groups; groups normalizer; non ... See more keywords
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Finite solvable groups with few imprimitive irreducible characters

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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. read more here.

Keywords: solvable groups; imprimitive irreducible; finite solvable; irreducible characters ... See more keywords