The Minimal Number of Generating Involutions Whose Product Is 1 for the Groups $ PSL_{3}(2^{m}) $ and $ PSU_{3}(q^{2}) $

Pub Date : 2023-11-24 DOI:10.1134/s0037446623060058

R. I. Gvozdev, Ya. N. Nuzhin

引用次数: 0

Abstract

Considering the groups $ PSL_{3}(2^{m}) $ and $ PSU_{3}(q^{2}) $, we find the minimal number of generating involutions whose product is 1. This number is 7 for $ PSU_{3}(3^{2}) $ and 5 or 6 in the remaining cases.

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群$ PSL_{3}(2^{m}) $和$ PSU_{3}(q^{2}) $积为1的最小生成对合数

考虑组$ PSL_{3}(2^{m}) $和$ PSU_{3}(q^{2}) $，我们找到了乘积为1的最小生成牵涉数。对于$ PSU_{3}(3^{2}) $，这个数字是7，在其他情况下是5或6。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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