Minimal non-group twisted subsets containing involutions

被引:0
作者
A. L. Myl’nikov
机构
[1] Institute of Science and Arts under Siberian Federal University,
来源
Algebra and Logic | 2007年 / 46卷
关键词
involution; twisted subset; twisted subgroup;
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摘要
A subset K of a group G is said to be twisted if 1 ∈ K and xy−1x ∈ K for any x, y ∈ K. We explore finite twisted subsets with involutions which are themselves not subgroups but every proper twisted subset of which is. Groups that are generated by such twisted subsets are classified.
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页码:250 / 262
页数:12
相关论文
共 3 条
  • [1] Myl’nikov A. L.(2007)Finite tangled groups Sib. Math. Zh. 48 369-375
  • [2] Aschbacher M.(1998)Near subgroups of finite groups J. Group Theory 1 113-129
  • [3] Myl’nikov A. L.(2006)Nilpotency of the derived subgroup of a finite tangled group Sib. Math. Zh. 47 1117-1127