PROCEEDINGS OF THE FOURTH BIENNIAL INTERNATIONAL GROUP THEORY CONFERENCE 2017 (4BIGTC2017) EXTENDED ABSTRACTS UTM KUALA LUMPUR, MALAYSIA | 23-26 JANUARY 2017 Organized by Applied Algebra and Analysis Research Group (AAAG) in collaboration with Faculty of Science & UTM International Proceedings of The Fourth Biennial International Group Theory Conference 2017 (4BIGTC2017) 23-26 January 2017 Extended Abstracts Universiti Teknologi Malaysia Malaysia Preface The Biennial International Group Theory Conference (BIGTC) is a series of conference that is organized every two years, and has been hosted by three countries - Malaysia, Turkey and Iran. The aim of this conference is to exchange the research ideas amongst the group theorists and postgraduate students. In addition, specialists in the subject of group theory can present their latest research works and encourage interested students to progress and widen their knowledge in group theory. Certainly this provides great opportunities for the graduate students, junior researchers and specialist in the region, which end up with joint research works internationally. The First, Second and Third BIGTC have already taken place in Malaysia (UTM Johor Bahru), Turkey (Istanbul) and Iran (Mashhad), respectively. Once again, this Fourth Biennial International Group Theory Conference 2017 (4BIGTC2017) is hosting by Universiti Teknologi Malaysia (UTM) but this time in UTM Kuala Lumpur. We do hope that others countries besides Malaysia, Turkey and Iran will also join us in organizing BIGTC in the future. This book contains collection of extended abstracts in the broad subject of group theory. All extended abstracts, which will be presented in the plenary, invited or parallel talks in the conference, have been collected in this booklet for the convenience of the participants. We would like to thank all participants and the plenary & invited speakers, who showed interest to attend and give talks in this conference. As the wide range of topics covered by the contributed talks made it necessary to hold different sessions in parallel, so we hope that this collection would in some sense make up the missing talks. This conference is organized by the Applied, Algebra and Analysis Research Group (AAAG) in collaboration with Faculty of Science and UTM International, Universiti Teknologi Malaysia. We are grateful to the Malaysian Mathematical Sciences Society and Centre of Excellence in Analysis on Algebraic Structures (CEAAS) of Ferdowsi University Mashhad, Iran for their generous financial support. We are grateful to the members of Scientific Committee, the members of organizing committee and all plenary and invited speakers of contributed talks for maintaining the stimulating atmosphere and above all, to all of our participants for making this event an unforgettable one. Thanks to the staff of Ferdowsi University of Mashhad for collecting all the abstracts and make this booklet available. Finally, we are thankful to all academic and non-academic staff of UTM International in our Kuala Lumpur Campus, who have helped us in organizing this conference. PROF. DR. AHMAD ERFANIAN PROF. DR. NOR HANIZA SARMIN Chair of 4BIGTC2017 Scientific Committee Chair of 4BIGTC2017 Organizing Committee Organizing Committee Chairperson Prof. Dr. Nor Haniza Sarmin Secretary Dr. Nor Muhainiah Mohd Ali Assistant Secretary Dr. Rosita Zainal Treasurer Dr. Fong Wan Heng Assistant Treasurer Aqilahfarhana Abdul Rahman Prof. Dr. Nor Haniza Sarmin (Chair) Web & Publicity Dr. Shazirawati Mohd Puzi (Webmaster) Prof. Dr. Ahmad Erfanian (Chair) Abstract & Programme Dr. Nor Muhainiah Mohd Ali Dr. Nor Muhainiah Mohd Ali (Chair) Mr. Mohd Syahriman Abu Bakar Ms. Zuraida Che Leh @ Hussin Invitation & Sponsorship Ms. Norfazliana Jaafar Mdm. Siti Saodah Jamalluddin Dr. Nor Muhainiah Mohd Ali (Chair) Floor Manager Dr. Rosita Zainal Alia Husna Mohd Noor Transportation & Accommodation Nurhidayah Zaid Siti Afiqah Mohammad Ibrahim Gambo Excursion Athirah Zulkarnain Nur Idayu Alimon Adnin Afifi Nawi Muhanizah Abdul Hamid Food & Beverages Norarida Abd Rhani Ahmad Firdaus Yosman Opening, Dinner & Closing Ceremony Siti Norziahidayu Amzee Zamri Dr. Nor Muhainiah Mohd Ali (Chair) Dr. Fong Wan Heng Dr. Rosita Zainal Secretariat & Registration Aqilahfarhana Abdul Rahman Fasha Farhanni Abdul Khalid Amira Fadina Ahmad Fadzil Fadhilah Abu Bakar Souvenirs Rabiha Mahmoud Nabilah Najmuddin Ahmad Firdaus Yosman Photographer Mohammad Faris Ahmad Scientific Committee • Prof. Dr. Ahmad Erfanian (Chair, Scientific Committee), Ferdowsi University of Mashhad, Iran. • Prof. Dr. Nor Haniza Sarmin (Chair, 4BIGTC2017), Universiti Teknologi Malaysia, Malaysia. • Prof. Dr. Alireza Abdollahi, University of Isfahan, Iran. • Prof. Dr. Francesco de Giovanni, Università di Napoli Federico II, Italy. • Prof. Dr. Ismail Guloglu, Dogus University, Istanbul, Turkey. • Prof. Dr. Mahmut Kuzucuoglu, Middle East Technical University, Ankara, Turkey. • Prof. Dr. Mohammad Reza Darafsheh, University of Tehran, Iran. • Prof. Dr. Mohammad Reza Rajabzadeh Moghaddam, Ferdowsi University of Mashhad, Iran. • Prof. Dr. Nikolai Vavilov, Saint-Petersburg State University, Russia. • Prof. Dr. Noraí Romeu Rocco, Universidade de Brasilia, Brazil. • Prof. Dr. Victor Danilovich Mazurov, Institute of Mathematics Novosibirsk, Russia. • Prof. Dr. Pudji Astuti, Institut Teknologi Bandung, Indonesia. • Assoc. Prof. Dr. Intan Muchtadi, Institut Teknologi Bandung, Indonesia. • Prof. Dr. Angelina Chin Yan Mui, University of Malaya, Malaysia. • Prof. Dr. Mohd Salmi Md Noorani, Universiti Kebangsaan Malaysia, Malaysia. • Assoc. Prof. Dr. Andrew a/l Balasingam Gnanaraj, Universiti Sains Malaysia, Malaysia. • Assoc. Prof. Dr. Norashiqin Md Idrus, Universiti Pendidikan Sultan Idris, Malaysia. • Assoc. Prof. Dr. Zabidin Salleh, Universiti Malaysia Terengganu, Malaysia. • Dr. Idham Ariff Alias, Universiti Putra Malaysia, Malaysia. • Dr. Mohd Sham Mohamad, Universiti Malaysia Pahang, Malaysia. • Dr. Nor Muhainiah Mohd Ali, Universiti Teknologi Malaysia, Malaysia. Plenary Speakers • Prof. Dr. Mark Lewis, Kent State University, USA. • Prof. Dr. Jamshid Moori, North-West University, Mafikeng, South Africa. Invited Speakers • Prof. Dr. Alireza Abdollahi, University of Isfahan, Isfahan, Iran. • Prof. Dr. Feride Kuzucuoglu, Hacettepe University, Ankara, Turkey. • Prof. Dr. Ismail Guloglu, Dogus University, Istanbul, Turkey. • Prof. Dr. Mahmut Kuzucuoglu, Middle East Technical University, Ankara, Turkey. • Prof. Dr. Mohammad Reza Darafsheh, University of Tehran, Tehran, Iran. • Prof. Dr. Mohammad Reza Rajabzadeh Moghaddam, Ferdowsi University of Mashhad, Mashhad, Iran. • Prof. Dr. Nikolai Vavilov, Saint-Petersburg State University, Russia. • Prof. Dr. Pudji Astuti, Institut Teknologi Bandung, Indonesia. • Assist. Prof. Dr. Mustafa Gokhan Benli, Middle East Technical University, Ankara, Turkey. • Dr. Anitha Thillaisundaram, University of Lincoln, UK. • Dr. Dilber Kocak, Texas A & M University, USA. • Dr. Wong Kok Bin, University of Malaya, Malaysia. MONDAY, 23 January 2017 Time Program Venue 8:00-09:00 Registration Lobby (Ground Level) Time Title Plenary Speaker I Venue 9:00-9:45 Semiextraspecial p-groups Prof. Dr. Mark Lewis Hall A Time Title Invited Speaker I Venue 9:50-10:25 Centralizers in limit monomial groups Prof. Dr. Mahmut Kuzucuoglu Hall A Time Program Venue 10:30-11:00 Tea/Coffee Break Hall B Time Title Invited Speaker II Venue 11:00-11:35 On branch groups Dr. Anitha Thillaisundaram Hall A Time Program Venue 11:40-12:30 Opening Ceremony & Photography Session Hall A 11:45 Guests Arrival 11:50 Doa Recitation 11:55 Welcoming Speech: Chair of 4BIGTC2017 (Prof Dr Nor Haniza Sarmin) Welcoming Speech: Chair of Scientific Committee (Prof Dr Ahmad Erfanian) Officiating Speech: Director of UTM KL Campus (Prof Dr Durrishah Idrus) 12:20 Photo Session 12:30 Lunch Time Program Venue 12:30-14:00 Lunch Hall B Time Title Invited Speaker III Venue 14:00-14:35 Residual finiteness of certain groups Dr. Wong Kok Bin Hall A Time Title Invited Speaker IV Venue 14:40-15:15 On edge-transitivity of Cayley graphs Prof. Dr. Mohammad Reza Hall A Darafsheh MONDAY, 23 January 2017 Parallel Session I Time Title Speaker Venue The generalization of the homological functors of a Tan Yee Ting Room A 15:20-15:40 bieberbach group A note on conjugacy class graphs of p-singular el- Zohreh Mostaghim Room B ements On a group of the form 24+5:GL(4; 2) Ayoub Basheer Room A 15:45-16:05 The connectivity of commuting graphs C(G; X) in Athirah Nawawi Room B symmetric groups sym(n) Cyclic subgroup separability of certain generalized Muhammad Sufi Mohd Asri Room A 16:10-16:30 free products On the nilpotent conjugacy class graph of groups Abbas Mohammadian Room B Some results on central autoisoclinism of groups Mohammad Javad Sadeghifard Room A 16:35-16:55 On the generalized conjugacy class graph of 3- Alia Husna Mohd Noor Room B generator 2-groups Time Program Venue 17:00-17:30 Networking Tea/Coffee Break Hall B Time Program Venue 19:30-22:00 Dinner and Performance Hall B 19:30 Guests Arrival 19:50 VIP’s Arrival 20:00 Doa Recitation 20:10 Welcoming Speech: Chair of 4BIGTC2017 Welcoming Speech: Director of UTM KL Campus 20:30 Montage 20:45 Dinner start Performance 22:00 End of Dinner TUESDAY, 24 January 2017 Parallel Session II Time Title Speaker Venue A homological invariant of a consistent polycyclic Siti Afiqah Mohammad Room A 8:30-8:50 group The disc structures of commuting involution graphs Suzila Mohd Kasim Room B for certain simple groups Invariance of pm-regular