On the number of solutions of equation $ x^{{p}^{ k}} = 1 $ in a finite group

Yakov Berkovich

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Displaying similar documents to “On the number of solutions of equation $x^{p^{k}} = 1$ in a finite group”

Abelian quasinormal subgroups of groups

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Let $G$ be any group and let $A$ be an abelian quasinormal subgroup of $G$ . If $n$ is any positive integer, either odd or divisible by $4$ , then we prove that the subgroup $A^{n}$ is also quasinormal in $G$ .

On the rarity of quasinormal subgroups

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Finite groups with few conjugacy classes of subgroups

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Stewart E. Stonehewer, Giovanni Zacher (2006)

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Kuzennyi, N.F., Subbotin, I.Ya. (2005)

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Nearly normal projectivities

Charles Holmes (1989)

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Unions of subquasigroups

Tomáš Kepka, Pavel Příhoda, Jan Šťovíček (2004)

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Displaying similar documents to “On the number of solutions of equation x p k = 1 in a finite group”

Abelian quasinormal subgroups of groups

On the rarity of quasinormal subgroups

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Displaying similar documents to “On the number of solutions of equation $x^{p^{k}} = 1$ in a finite group”