2019
DOI: 10.1142/s1793557120500102
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A note on the upper Lie nilpotency index of a group algebra

Abstract: In this paper, we classify the modular group algebra KG of a group G over a field K of characteristic p > 0 having upper Lie nilpotency index t L (KG) = |G ′ | − k(p − 1) + 1 for k = 14 and 15. Group algebras of upper Lie nilpotency index |G ′ | − k(p − 1) + 1 for k ≤ 13, have already been characterized completely.

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Cited by 4 publications
(11 citation statements)
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“…, then from the Table 5 of [14], no such group exists. If |ζ(G ′ )| = 27, then possible G ′ are S(243, 2), S(243, 32) to S(243, 36) and S(243, 62) to S(243, 64) (see Table 5 of [14]). Now [12] no such group exists.…”
Section: Introductionmentioning
confidence: 98%
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“…, then from the Table 5 of [14], no such group exists. If |ζ(G ′ )| = 27, then possible G ′ are S(243, 2), S(243, 32) to S(243, 36) and S(243, 62) to S(243, 64) (see Table 5 of [14]). Now [12] no such group exists.…”
Section: Introductionmentioning
confidence: 98%
“…Furthermore, group algebras with minimal Lie nilpotency index p + 1 have been classified by Sharma and Bist [20]. A complete description of the Lie nilpotent group algebras with next possible nilpotency indices 2p, 3p−1, 4p−2, 5p−3, 6p−4, 7p−5, 8p−6 and 9p−7 is given in [13][14][15][16][17].…”
Section: Introductionmentioning
confidence: 99%
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