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<p>In the present article we define <i>infinitely supported</i> groups and investigate main properties of such groups, especially in abelian case. We give some examples in non-abelian case. We see that some celebrated constructions of groups are infinitely supported such as Čarin’s groups with <i>min</i>-n, Ol’shanskiǐ’s and Obraztsov’s constructions, Heineken-Mohamed type groups and non-perfect minimal non-<b>FC</b>-groups.</p>

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On infinitely supported groups

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月20日

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  • Rümeysa S. Altınkaya,
  • Ahmet Arikan,
  • Aynur Arikan

摘要

In the present article we define infinitely supported groups and investigate main properties of such groups, especially in abelian case. We give some examples in non-abelian case. We see that some celebrated constructions of groups are infinitely supported such as Čarin’s groups with min-n, Ol’shanskiǐ’s and Obraztsov’s constructions, Heineken-Mohamed type groups and non-perfect minimal non-FC-groups.