Some rank six geometries for the smallest Fischer sporadic simple group

سال انتشار: 1404
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 40

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شناسه ملی سند علمی:

JR_JDMA-10-1_001

تاریخ نمایه سازی: 25 اسفند 1403

چکیده مقاله:

This paper introduces some new rank six geometries associated with the Fischer sporadic simple group Fi۲۲. These geometries are both residually connected and firm, with Fi۲۲ acts as aflag-transitive automorphism group on them. The previously known geometries for Fischer sporadicsimple group Fi۲۲ have rank at most four. Therefore, we investigate improvements to the lower boundof the maximum rank of the residually connected and firm geometries on which the group Fi۲۲ actsas a flag-transitive automorphism group. Moreover, we demonstrate that the independent generatingset of Fischer sporadic simple group Fi۲۲ has a size of at least seven.

نویسندگان

Hossein moshtagh

Department of Computer Science, University of Garmsar, Address Garmsar, Semnan ۳۵۸۸۱۱۵۵۸۹, Iran

Ali Reza Rahimipour

Faculty of Electrical & Computer Engineering,, Iran., Malek Ashtar University of Technology, Tehran