On free group generated by two Heisenberg translations

被引：0
作者：
Kalane, Sagar B. [1 ]
Tiwari, Devendra [2 ]
机构：
[1] Indian Inst Sci Educ & Res IISER Pune, Dr Homi Bhabha Rd,Ward 8, Pune 411008, Maharashtra, India
[2] Bhaskaracharya Pratishthana, Off Law Coll Rd, Pune 411004, Maharashtra, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2022年 / 132卷 / 01期
关键词：
Free group; Heisenberg translation; discreteness; PAIRS;
D O I：
10.1007/s12044-022-00691-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A and B be two Heisenberg translations of PU(2, 1). In this paper, we will discuss the groups (A, B) generated by two non-commuting Heisenberg translations and determine when they are free. The main result of the paper improves an assertion made by Xie et al. (Canad Math. Bull. 56(4) (2013) 881-889). We also extend the improved result for two Heisenberg translations in PSp(2, 1).
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页数：10
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