Commutation semigroups of finite metacyclic groups with trivial centre
نویسندگان
چکیده
منابع مشابه
Pairwise non-commuting elements in finite metacyclic $2$-groups and some finite $p$-groups
Let $G$ be a finite group. A subset $X$ of $G$ is a set of pairwise non-commuting elements if any two distinct elements of $X$ do not commute. In this paper we determine the maximum size of these subsets in any finite non-abelian metacyclic $2$-group and in any finite non-abelian $p$-group with an abelian maximal subgroup.
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ژورنال
عنوان ژورنال: Semigroup Forum
سال: 2020
ISSN: 0037-1912,1432-2137
DOI: 10.1007/s00233-020-10097-3