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• W2950520433 abstract "We deal with the following conjecture. If w is a group word and G is a finite group in which any nilpotent subgroup generated by w-values has exponent dividing e, then the exponent of the verbal subgroup w(G) is bounded in terms of e and w only. We show that this is true in the case where w is either the nth Engel word or the word [x^n,y_1,y_2,...,y_k] (Theorem A). Further, we show that for any positive integer e there exists a number k=k(e) such that if w is a word and G is a finite group in which any nilpotent subgroup generated by products of k values of the word w has exponent dividing e, then the exponent of the verbal subgroup w(G) is bounded in terms of e and w only (Theorem B)." @default.
• W2950520433 created "2019-06-27" @default.
• W2950520433 creator A5005996108 @default.
• W2950520433 creator A5036917826 @default.
• W2950520433 creator A5042273388 @default.
• W2950520433 date "2013-01-17" @default.
• W2950520433 modified "2023-09-23" @default.
• W2950520433 title "Bounding the Exponent of a Verbal Subgroup" @default.
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• W2950520433 hasPublicationYear "2013" @default.
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