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Fundamentalnaya i Prikladnaya Matematika, 2016, Volume 21, Issue 1, Pages 135–144
(Mi fpm1708)
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This article is cited in 1 scientific paper (total in 1 paper)
Serial group rings of finite simple groups of Lie type
A. V. Kukhareva, G. E. Puninskib a Vitebsk State University named after P. M. Masherov
b Belarusian State University, Minsk
Abstract:
Suppose that F is a field whose characteristic p divides the order of a finite group G. It is shown that if G is one of the groups 3D4(q), E6(q), 2E6(q), E7(q), E8(q), F4(q), 2F4(q), or 2G2(q), then the group ring FG is not serial. If G=G2(q2), then the ring FG is serial if and only if either p>2 divides q2−1, or p=7 divides q2+√3q+1 but 49 does not divide this number.
Citation:
A. V. Kukharev, G. E. Puninski, “Serial group rings of finite simple groups of Lie type”, Fundam. Prikl. Mat., 21:1 (2016), 135–144; J. Math. Sci., 233:5 (2018), 695–701
Linking options:
https://www.mathnet.ru/eng/fpm1708 https://www.mathnet.ru/eng/fpm/v21/i1/p135
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Abstract page: | 393 | Full-text PDF : | 133 | References: | 71 |
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