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Angelina Y. M. Chin

On non-commuting sets in an extraspecial p-group

Let G be a group. A set X of elements of G is said to be non-commuting if xy ? yx for any x, y ? X with x ? y. If | X | ? | X? | for any other non-commuting set X? in G, then X is said to be a maximal non-commuting set. In this paper we obtain upper and lower bounds for the cardinality of a maximal non-commuting set in an extraspecial p-group where p is an odd prime.

Journal of Group Theory, Walter de Gruyter

Print ISSN: 1433-5883
Volume: 8, 03/2005
Pages: 189 - 194

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