M-group

In mathematics, especially in the field of group theory, the term M-group may refer to a few distinct concepts. ^[1]

3 relations: Iwasawa group, Monomial group, Polycyclic group.

Iwasawa group

In mathematics a group is sometimes called an Iwasawa group or M-group or modular group if its lattice of subgroups is modular.

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In mathematics, in the area of algebra studying the character theory of finite groups, an M-group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1.

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Polycyclic group

In mathematics, a polycyclic group is a solvable group that satisfies the maximal condition on subgroups (that is, every subgroup is finitely generated).

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Redirects here:

M group, M-group (disambiguation).

References

[1] https://en.wikipedia.org/wiki/M-group

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