On endomorphisms of groups of order 36

被引：1
|
作者：
Leibak, Alar [1 ]
Puusemp, Peeter [1 ]
机构：
[1] Tallinn Univ Technol, Dept Math, Ehitajate Tee 5, EE-19086 Tallinn, Estonia
来源：
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2016年 / 65卷 / 03期
关键词：
group; semigroup; endomorphism semigroup; X C-2; SEMIGROUPS;
D O I：
10.3176/proc.2016.3.06
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
There exist exactly 14 non-isomorphic groups of order 36. In this paper we will prove that three of them are not determined by their endomorphism semigroups in the class of all groups. All groups that have an endomorphism semigroup isomorphic to the endomorphism semigroup of a group of order 36 are described.
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页码：237 / 254
页数：18
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